Slope Formula: Triples ActivityThis is a great way for students to practice finding slope given two points using the slope formula. There are 30 total cards in which there are 10 sets of 3 cards with the same answer. I created this activity as a twist on the classic task cards.Students can work on their own or in teams to find all the slopes. Find the slope of the line through each pair of points. 1) (19 , −16), (−7, −15) − 1 26 2) (1, −19), (−2, −7) −4 3) (−4, 7), (−6, −4) 11 2 4) (20 , 8), (9, 16) − 8 11 5) (17 , −13), (17 , 8) Undefined 6) (19 , 3), (20 , 3) 0 7) (3, 0), (−11 , −15) 15 14 8) (19 , −2), (−11 , 10) − 2 5-1- Assignment 12: Slope from Two Points and Tables Directions: Find the slope of the line that passes through each pair of points. Simplify all answers, and leave answers as fractions not decimals if needed. There is a graph at the bottom of the page if you need it. 1. (4,3) 𝑎 (8,6) 2. (1,3) 𝑎 (7,5) 3. (−1,−2) 𝑎 (2,7)Write the slope-intercept form of the equation of each line. 1) 3 x − 2y = −16 2) 13 x − 11 y = −12 3) 9x − 7y = −7 4) x − 3y = 6 5) 6x + 5y = −15 6) 4x − y = 1 7) 11 x − 4y = 32 8) 11 x − 8y = −48 Write the standard form of the equation of the line through the given point with the given slope. 9) through: (1, 2), slope ...If you are given two points on the line, then you first need to find the slope of the line and then use the Point-Slope Equation and ONE of the given points to find the equation of the line. Sample Problems: Find the equation of the lines in Slope-Intercept Form: 4.1 With a slope = 2 and the point (2,3) 4.2 With a slope = 3/2 and the point (4,6)Use the graph to find the slope of the line. rise = 2. Start from a point on the line, such as (2, 1) and move vertically until in line with another point on the line, such as (6, 3). The rise is 2 units. It is positive as you moved up. run = 4. Next, move horizontally to the point (6, 3). Count the number of units. Assignment 12: Slope from Two Points and Tables Directions: Find the slope of the line that passes through each pair of points. Simplify all answers, and leave answers as fractions not decimals if needed. There is a graph at the bottom of the page if you need it. 1. (4,3) 𝑎 (8,6) 2. (1,3) 𝑎 (7,5) 3. (−1,−2) 𝑎 (2,7)Answer key Find the slope of a line that passes through the given two points using ratio method. 1) (5, ±3) and ( ±1, 6) y = x =Use the graph to find the slope of the line. rise = 2. Start from a point on the line, such as (2, 1) and move vertically until in line with another point on the line, such as (6, 3). The rise is 2 units. It is positive as you moved up. run = 4. Next, move horizontally to the point (6, 3). Count the number of units. 15) The slope of a line is 3 2 and the line contains the points (5,9) and (3,a). What is the value of a? 16) The slope of a line is -2 and the line contains the points (7 ,4) and (x, 12). What is the value of x? 17) The slope of a line is 2 t and the line contains the points (-2 ,4) and (-6, 10). What is the value of t?Unit Test - Slope and Linear Graphs. Multiple Choice (80 points, 5 points each) Identify the choice that best completes the statement or answers the question. 1. Find the slope of the line that passes through the points (2,7) and (2,- 6). A. 1 . B. 0 . C. undefined . D. -1 . 2. Find the slope of the line that passes through the points (4,10 ... Practice Problems for Slope of a Line. The derivative at some point of the curve is the slope of the tangent to the curve at the considering point. Some functions have slopes that may not be the same at every point along the function. Slope tells us the nature of change of function.Finding slope from two points. Finding slope from an equation. Graphing lines using slope-intercept form. Graphing lines using standard form. Writing linear equations. Graphing linear inequalities. Graphing absolute value equations. Direct variation. Systems of Equations and Inequalities. Consider the line above. We learned in the previous section that because it is horizontal, its slope is [latex]0[/latex]. You can also use the slope formula with two points on this horizontal line to calculate the slope of this horizontal line. Using [latex](−3,3)[/latex] as Point 1 and (2, 3) as Point 2, you get:Students are then introduced to an illustration to derive the formula for finding slope from two points (Y2-Y1/ X2-X1), followed by five practice problems.The second version allows for students to take notes as you're teaching the lesson.The last page is the answer key.The preview above shows the entire resource. Something went wrong. Please try again. | Khan Academy. Algebra 1 16 units · 184 skills. Unit 1 Algebra foundations. Unit 2 Solving equations & inequalities. Unit 3 Working with units. Unit 4 Linear equations & graphs. Unit 5 Forms of linear equations. Unit 6 Systems of equations.It only takes a couple of minutes. Follow these simple instructions to get Assignment 12 Slope From Two Points And Tables Answer Key completely ready for submitting: Select the form you want in the collection of legal forms. Open the template in our online editing tool. Read through the instructions to discover which info you have to give.It is used to write equations when you only have your slope and a point. Point-slope form: y-a = m (x-b). For example, your slope (m) is 3 and your point (a,b) is 9,10. You would substitute your y-coordinate for a, and your x- coordinate for b. Your new equation would look like this: y-10 = 3 (x-9).7) (3, 0), (−11 , −15) 8) (19 , −2), (−11 , 10) -1- ©l q2Z0 u1u2 m YK4uet LaH XSSoVfCttw7aRrQed bLPLpCH.G w FA 4lgl J NrDiOgShlt Gsr mrpe Bs9eqr2vae ed B.y w xM 6a5d el 4wPiztDhV eIXnCfliDnXiztde o tA5l BgWedb4rMa0 U1D.1 Worksheet by Kuta Software LLCThese Linear Functions Worksheets will produce problems for practicing finding the slope from a pair of points. These Linear Functions Worksheets are a good resource for students in the 5th Grade through the 8th Grade. These Linear Functions Worksheets will produce problems for practicing finding the slope and Y-intercept from an equation. 2. Plug the x-coordinates into the slope formula. Make sure you are not using the y-coordinates, and that you are substituting the correct x-coordinates for the first and second points. [6] For example, if the coordinates of your first point are. ( 3 , 2 ) {\displaystyle (3,2)}Practice Problems for Slope of a Line. The derivative at some point of the curve is the slope of the tangent to the curve at the considering point. Some functions have slopes that may not be the same at every point along the function. Slope tells us the nature of change of function.That slope is m ∥ = 2. We’ll use the notation m ∥ to represent the slope of a line parallel to a line with slope m. (Notice that the subscript || looks like two parallel lines.) The second line will pass through ( −2, 1) and have m = 2. To graph the line, we start at ( −2, 1) and count out the rise and run.40 Questions Show answers. Q. Find the slope of the line that passes through the points (2, 4) and (6, 12) Q. Find the slope of the line. Q. Find the slope of the line. Q. Find the slope of the line. Q. Find the slope of the line.This page consists of printable exercises like introduction to slopes such as identifying the type and counting the rise and run; finding the slope using ratio method, slope-intercept formula and two-point formula; drawing lines through coordinates and much more! Employ our free worksheets to sample our work. Answer keys are included.Slope = m = = y2 y1 x2 x1 2 8 = 10 = 10 1 34 Use two-point formula Answer key Example: Find the slope of a line passing through the points (4,Put a point at (0, -1/2). It is half-way between 0 and -1. Since the slope is 2, you move up 2 units and right 1.-- Up 1 unit takes you to 1/2, up 2 units takes you to 1 1/2 (halfway between 1 and 2).-- Then, go right 1 unit. You should now be at the point 1 1/2, 1) Hope this helps. Finding Slope Using Ordered Pairs FREE. Students are given ordered pairs. They use them to calculate the slope, using the rise over run formula. This is a two-page worksheet. An example is given at the top of the first page. 8th Grade.The slope calculator determines the slope or gradient between two points in the Cartesian coordinate system. The slope is basically the amount of slant a line has and can have a positive, negative, zero, or undefined value. Before using the calculator, it is probably worth learning how to find the slope using the slope formula.The slope calculator determines the slope or gradient between two points in the Cartesian coordinate system. The slope is basically the amount of slant a line has and can have a positive, negative, zero, or undefined value. Before using the calculator, it is probably worth learning how to find the slope using the slope formula.The slope calculator determines the slope or gradient between two points in the Cartesian coordinate system. The slope is basically the amount of slant a line has and can have a positive, negative, zero, or undefined value. Before using the calculator, it is probably worth learning how to find the slope using the slope formula.Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Writing a Linear Equation from Two Points (A) math worksheet. The size of the PDF file is 79231 bytes. Preview images of the first and second (if there is one ...Step 2: Use the slope formula to show that the coordinate of the midpoint is located on the line segment. Show Video Lesson Midpoint Calculator Enter the coordinates of two points and the midpoint calculator will give the midpoint of the two points. Use this to check your answers.PDF. 36 question worksheet on finding the slope of a line given a table, graph, 2 points and/or equation of the line. #1 - 9 find slope from 2 points#10 - 15 find slope from graph (first 3 questions points are given, next 3 questions the points are not given)#16 - 24 find slope given an equation written in various forms#25 - 30 find slope from ... 40 Questions Show answers. Q. Find the slope of the line that passes through the points (2, 4) and (6, 12) Q. Find the slope of the line. Q. Find the slope of the line. Q. Find the slope of the line. Q. Find the slope of the line. Slope Formula: Triples ActivityThis is a great way for students to practice finding slope given two points using the slope formula. There are 30 total cards in which there are 10 sets of 3 cards with the same answer. I created this activity as a twist on the classic task cards.Students can work on their own or in teams to find all the slopes. Finding the slope from two points Example: The Slope of a line passing through the points (2, 3) and (4, -6) . Slope= m = = −6−3 4−2 y - y 1 2 x 2 2 - xLearn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.Write the slope-intercept form of the equation of each line. 1) 3 x − 2y = −16 2) 13 x − 11 y = −12 3) 9x − 7y = −7 4) x − 3y = 6 5) 6x + 5y = −15 6) 4x − y = 1 7) 11 x − 4y = 32 8) 11 x − 8y = −48 Write the standard form of the equation of the line through the given point with the given slope. 9) through: (1, 2), slope ... That slope is m ∥ = 2. We’ll use the notation m ∥ to represent the slope of a line parallel to a line with slope m. (Notice that the subscript || looks like two parallel lines.) The second line will pass through ( −2, 1) and have m = 2. To graph the line, we start at ( −2, 1) and count out the rise and run.Consider the line above. We learned in the previous section that because it is horizontal, its slope is [latex]0[/latex]. You can also use the slope formula with two points on this horizontal line to calculate the slope of this horizontal line. Using [latex](−3,3)[/latex] as Point 1 and (2, 3) as Point 2, you get:1.4 Finding slope given two points ID: 1 ©f \2y0A1K7K bK]uKtBaa cSZoDfytcwCaYrSeL iLFLgCw.\ l RAdlZlk `rXipgwhntrsv Sr_edswekrSvOeBdO. Use the graph to find the slope of the line. rise = 2. Start from a point on the line, such as (2, 1) and move vertically until in line with another point on the line, such as (6, 3). The rise is 2 units. It is positive as you moved up. run = 4. Next, move horizontally to the point (6, 3). Count the number of units. Find the equation of a line with the given slope and y-intercept. Express your answer in point slope form. Find the equation of the line that passes through the following two points. Express your answer in point slope form. Write the equation of the line graphed below. Express your answer in point slope form. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.Slope Formula: Triples ActivityThis is a great way for students to practice finding slope given two points using the slope formula. There are 30 total cards in which there are 10 sets of 3 cards with the same answer. I created this activity as a twist on the classic task cards.Students can work on their own or in teams to find all the slopes.Finding the slope from two points Example: The Slope of a line passing through the points (2, 3) and (4, -6) . Slope= m = = −6−3 4−2 y - y 1 2 x 2 2 - xFind the equation of a line with the given slope and y-intercept. Express your answer in point slope form. Find the equation of the line that passes through the following two points. Express your answer in point slope form. Write the equation of the line graphed below. Express your answer in point slope form. Answer key Find the slope of a line that passes through the given two points using ratio method. 1) (5, ±3) and ( ±1, 6) y = x =Finding Slope Using Ordered Pairs FREE. Students are given ordered pairs. They use them to calculate the slope, using the rise over run formula. This is a two-page worksheet. An example is given at the top of the first page. 8th Grade. The slope-intercept form of a linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers. This form of the equation is very useful. The coefficient of "x" (the "m" value) is the slope of the line. And, the constant (the "b" value) is the y-intercept at (0, b)A line with a slope of 3 passes through the point (3,6). Which point also lies on this line? 1) (6,3) 2) (7,6) 3) (−3, 3) 4) 6,3) 13 Line segment AB has a slope of 3 4. If the coordinates of point A are (2,5), the coordinates of point B could be 1) (6,8) 2) (5,9) 3) (−1,1) 4) (6,2) 14 What is the slope of the line passing through the points ...Slope two-point formula answer key - Use the slope formula. m=y2y1x2x1 m = y 2 y 1 x 2 x 1 ; Substitute the values in the slope formula: ; y y of the second Slope two-point formula answer key - Use the slope formula. m=y2y1x2x1 m = y 2 y 1 x 2 x 1 ; Substitute the values in the slope formula: ; y y of the second 7) (3, 0), (−11 , −15) 8) (19 , −2), (−11 , 10) -1- ©l q2Z0 u1u2 m YK4uet LaH XSSoVfCttw7aRrQed bLPLpCH.G w FA 4lgl J NrDiOgShlt Gsr mrpe Bs9eqr2vae ed B.y w xM 6a5d el 4wPiztDhV eIXnCfliDnXiztde o tA5l BgWedb4rMa0 U1D.1 Worksheet by Kuta Software LLCSame answer. Step 2: The "Point-Slope Formula" Now put that slope and one point into the "Point-Slope Formula" Start with the "point-slope" formula (x 1 and y 1 are the coordinates of a point on the line): y − y 1 = m(x − x 1) We can choose any point on the line for x 1 and y 1, so let's just use point (2,3): y − 3 = m(x − 2) We already ... Finding Slope Using Ordered Pairs FREE. Students are given ordered pairs. They use them to calculate the slope, using the rise over run formula. This is a two-page worksheet. An example is given at the top of the first page. 8th Grade.The slope is ±25. The equation to find the number of right whales that will be in existence in x generations is y = ±25 x +300. Write an equation in slope -intercept form for each graph. 62/87,21 The line passes through the points (0, 12) and (6, 2). Substitute DQG LQ the slope formula . Substitute m = DQG LQWKHSRLQW - slope form .©a t2I0 x1p1 V TK WuOtFaQ iS6o8f StYw ca drNee rLGLTC8. 6 f hA VlFlq RrCiEg lh0t PsI 7r PeJs Re 7rRvHesdf. y j 2M eald je w Aw 7i Mtrh e mI1nDfeiynHiPtte g zGxe fo Em ue ft hrNyR. An answer key is also provided along with the 8th grade slope worksheets to understand each problem in detail through a stepwise procedure. Printable PDFs for Grade 8 Slope Worksheets. Students can download the 8th grade slope worksheets PDF format for free. Math 8th Grade Slope Worksheet; 8th Grade Slope Math Worksheet; Eighth Grade Slope ...PDF. 36 question worksheet on finding the slope of a line given a table, graph, 2 points and/or equation of the line. #1 - 9 find slope from 2 points#10 - 15 find slope from graph (first 3 questions points are given, next 3 questions the points are not given)#16 - 24 find slope given an equation written in various forms#25 - 30 find slope from ... Regents Exam Questions A.A.33: Slope 1 Name: _____ www.jmap.org 2 8 What is the slope of the line passing through the points A and B, as shown on the graph below? 2. Plug the x-coordinates into the slope formula. Make sure you are not using the y-coordinates, and that you are substituting the correct x-coordinates for the first and second points. [6] For example, if the coordinates of your first point are. ( 3 , 2 ) {\displaystyle (3,2)}Name: _____ Score: Printable Math Worksheets @ www.mathworksheets4kids.comGraph a line given a point and the slope. Step 1. Plot the given point. Step 2. Use the slope formula m = rise run m = rise run to identify the rise and the run. Step 3. Starting at the given point, count out the rise and run to mark the second point. Step 4. Connect the points with a line.Use the graph to find the slope of the line. rise = 2. Start from a point on the line, such as (2, 1) and move vertically until in line with another point on the line, such as (6, 3). The rise is 2 units. It is positive as you moved up. run = 4. Next, move horizontally to the point (6, 3). Count the number of units.These Linear Functions Worksheets will produce problems for practicing finding the slope from a pair of points. These Linear Functions Worksheets are a good resource for students in the 5th Grade through the 8th Grade. These Linear Functions Worksheets will produce problems for practicing finding the slope and Y-intercept from an equation.If you are given two points on the line, then you first need to find the slope of the line and then use the Point-Slope Equation and ONE of the given points to find the equation of the line. Sample Problems: Find the equation of the lines in Slope-Intercept Form: 4.1 With a slope = 2 and the point (2,3) 4.2 With a slope = 3/2 and the point (4,6) Finding slope from two points. Finding slope from an equation. Graphing lines using slope-intercept form. Graphing lines using standard form. Writing linear equations. Graphing linear inequalities. Graphing absolute value equations. Direct variation. Systems of Equations and Inequalities. The slope is ±25. The equation to find the number of right whales that will be in existence in x generations is y = ±25 x +300. Write an equation in slope -intercept form for each graph. 62/87,21 The line passes through the points (0, 12) and (6, 2). Substitute DQG LQ the slope formula . Substitute m = DQG LQWKHSRLQW - slope form .Consider the line above. We learned in the previous section that because it is horizontal, its slope is [latex]0[/latex]. You can also use the slope formula with two points on this horizontal line to calculate the slope of this horizontal line. Using [latex](−3,3)[/latex] as Point 1 and (2, 3) as Point 2, you get:Students are then introduced to an illustration to derive the formula for finding slope from two points (Y2-Y1/ X2-X1), followed by five practice problems.The second version allows for students to take notes as you're teaching the lesson.The last page is the answer key.The preview above shows the entire resource.Use the graph to find the slope of the line. rise = 2. Start from a point on the line, such as (2, 1) and move vertically until in line with another point on the line, such as (6, 3). The rise is 2 units. It is positive as you moved up. run = 4. Next, move horizontally to the point (6, 3). Count the number of units. Slope can also be calculated using the y2 - y1 / x2 - x1 formula. However, the distance formula is different. It's used to describe the length of a line segment or the distance between 2 points. Since the two formulas are used for 2 completely different things, you wouldn't be able to replace one with the other. Good question, though.40 Questions Show answers. Q. Find the slope of the line that passes through the points (2, 4) and (6, 12) Q. Find the slope of the line. Q. Find the slope of the line. Q. Find the slope of the line. Q. Find the slope of the line.Sep 5, 2022 · 4.2 Negative Slope. 4.3 Zero Slope. 4.4 Infinite or Unidentified Slope. 5 Slope Practice Worksheet. Activities for teaching slope. Create a “slope dude”. 6.2 Knockout game to compare slopes. Slope name drawing activity. 6.4 Watching a Shmoop video. Step 1: Identify the values of x_1 x1, x_2 x2, y_1 y1, and y_2 y2. x_1 = 2 x1 = 2 y_1 = 1 y1 = 1 x_2 = 4 x2 = 4 y_2 = 7 ~~~~~~~~ y2 = 7 [Explain] Step 2: Plug in these values to the slope formula to find the slope. \text {Slope} = \dfrac {y_2 - y_1} {x_2 - x_1} = \dfrac {7 - 1} {4 - 2} = \dfrac62 = 3 Slope = x2 −x1y2 −y1 = 4 −27 −1 = 26 = 3Name: _____ Score: Printable Math Worksheets @ www.mathworksheets4kids.com If you are not given 2 points, you can find 2 points on the graph and use them to find the slope. Here are some good things to know: - m = slope - (x₁, y₁) = point 1 - (x₂, y₂) = point 2 - rise = the difference in the y-values (y₂ - y₁) - run = the difference in the x-values (x₂ - x₁) In the slope formula, the slope (m) is equal ...Answer key Example: Find the slope of a line passing through the points (4, 8) and (3, –2). Slope = m = y" – y# x" – x# 2 – 8 = = –10 = 10 3 – 4 –1 Use two-point formula method to !nd the slope of a line passing through the given points. (–4, 2) and (5, 6) Slope = 4 9 3) (2, 1) and (3, –10) Slope = –11 5) (7, 1) and (–2, 3)©f 62G0 g1323 yK tu FtEaQ wStodf 4tzw Najr8e O GLdL ZCL. 2 4 nAulAll qr GivgUhwt5sV 5r7eusPelruv ke3d T.A a CMvaZdwew WwListWhI BIbn1f SiIn Jinthe 5 uAxlbgte zb 7raa D1q.F Worksheet by Kuta Software LLC 9) x y 10) x y 11) x y 12) x y 13) x y 14) x y 15) x y Undefined 16) x y -2-Create your own worksheets like this one with Infinite Algebra 1 ...Unit Test - Slope and Linear Graphs. Multiple Choice (80 points, 5 points each) Identify the choice that best completes the statement or answers the question. 1. Find the slope of the line that passes through the points (2,7) and (2,- 6). A. 1 . B. 0 . C. undefined . D. -1 . 2. Find the slope of the line that passes through the points (4,10 ...Finding Slope Using Ordered Pairs FREE. Students are given ordered pairs. They use them to calculate the slope, using the rise over run formula. This is a two-page worksheet. An example is given at the top of the first page. 8th Grade.
The slope calculator determines the slope or gradient between two points in the Cartesian coordinate system. The slope is basically the amount of slant a line has and can have a positive, negative, zero, or undefined value. Before using the calculator, it is probably worth learning how to find the slope using the slope formula.. Amanda breden
An answer key is also provided along with the 8th grade slope worksheets to understand each problem in detail through a stepwise procedure. Printable PDFs for Grade 8 Slope Worksheets. Students can download the 8th grade slope worksheets PDF format for free. Math 8th Grade Slope Worksheet; 8th Grade Slope Math Worksheet; Eighth Grade Slope ... 8) Find the equation of a line that passes through the points (2,13) and (1,8) Answer : 5 3yx 9) Find the equation of a line that passes through the points (4, 3) and (8,1) 1 Answer : 5 2 yx Challenge Questions 10) Find the equation of a line that passes through the points (2, 5) and (2, 12). Answer : 2 . This is the equation of x a vertical ...Line 1: Line 2: Parallel Lines: The lines are parallel if their slopes are equal or the same. That means. Equal Slopes: Graph: Perpendicular Lines: The lines are perpendicular if their slopes are opposite reciprocals of each other. Or, if we multiply their slopes together, we get a product of – \,1 –1 .Answer key Example: Find the slope of a line passing through the points (4, 8) and (3, –2). Slope = m = y" – y# x" – x# 2 – 8 = = –10 = 10 3 – 4 –1 Use two-point formula method to !nd the slope of a line passing through the given points. (–4, 2) and (5, 6) Slope = 4 9 3) (2, 1) and (3, –10) Slope = –11 5) (7, 1) and (–2, 3)View Finding Slope WS 2 Answer Key.pdf from MATH 30365 at Citrus Valley High. Name: Period: FINDING SLOPE #2 (Using slope formula) 32")1 x2_x1 Find the slope using the formula m = 1. Students will find the slope of a line given a table, a graph, two points or an equation to navigate through this fun and engaging maze attempting at least 20 problems. This resource works well as independent practice, homework, extra credit or even as an assignment to leave for the substitute. General Algebra II Functions, Equations, and Graphing Unit Name Period Date Worksheet 2-2-6 Point-Slope Form (y y1) m(— x1) Note: A useful form of Linear Equations is Point-Slope form. This is used Fill unit linear relationships homework 3 the slope formula answer key: Try Risk FreeSlope. Implement our free, printable worksheets to know more about slopes, and find how learning the types of slope, knowing how to find the slope of the graph, knowledge on finding slope of the line joining passing through two points and finding slope of the line from the equation can help you understand slopes in our daily life. It only takes a couple of minutes. Follow these simple instructions to get Assignment 12 Slope From Two Points And Tables Answer Key completely ready for submitting: Select the form you want in the collection of legal forms. Open the template in our online editing tool. Read through the instructions to discover which info you have to give. Use the graph to find the slope of the line. rise = 2. Start from a point on the line, such as (2, 1) and move vertically until in line with another point on the line, such as (6, 3). The rise is 2 units. It is positive as you moved up. run = 4. Next, move horizontally to the point (6, 3). Count the number of units.©a t2I0 x1p1 V TK WuOtFaQ iS6o8f StYw ca drNee rLGLTC8. 6 f hA VlFlq RrCiEg lh0t PsI 7r PeJs Re 7rRvHesdf. y j 2M eald je w Aw 7i Mtrh e mI1nDfeiynHiPtte g zGxe fo Em ue ft hrNyR.Step 1: Identify the values of x_1 x1, x_2 x2, y_1 y1, and y_2 y2. x_1 = 2 x1 = 2 y_1 = 1 y1 = 1 x_2 = 4 x2 = 4 y_2 = 7 ~~~~~~~~ y2 = 7 [Explain] Step 2: Plug in these values to the slope formula to find the slope. \text {Slope} = \dfrac {y_2 - y_1} {x_2 - x_1} = \dfrac {7 - 1} {4 - 2} = \dfrac62 = 3 Slope = x2 −x1y2 −y1 = 4 −27 −1 = 26 = 3 .