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Warm-Up 1. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1)b. (6,-2) and (-1,-5) 2. Put each equation into slope-intercept.

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Presentation on theme: "Warm-Up 1. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1)b. (6,-2) and (-1,-5) 2. Put each equation into slope-intercept."— Presentation transcript:

1 Warm-Up 1. Find the slope of the line that passes through the two points: a. (-2,3) and (5,-1)b. (6,-2) and (-1,-5) 2. Put each equation into slope-intercept form. a. b. +21 SOLVE FOR “Y”

2 Warm-Up 1. Given slope = -3, and y-intercept = (0,5), create the equation of the line in slope-intercept form. 2. Look at the graph below and create an equation in slope-intercept form. m = -1/2 b = (0,2)

3 4.7 Point-Slope Form Advanced Algebra 1

4 What we Know so far…. Slope Intercept Form Where m is the slope and b is the intercept

5 Write an equation of a line given the slope and the y- intercept. Write an equation given the slope and y-intercept. 1.1. 2.2. 3.3.

6 Remember how to graph using slope-intercept form?? Slope-Intercept Form – requires the y-intercept and the slope of the line. m = slope of lineb = y-intercept

7 Slope-Intercept Form: m = slope of lineb = y-intercept What is the equation of this line? m = -6/5 b = (0,2)

8 Slope-Intercept Form: m = slope of lineb = y-intercept What is the equation of this line? m = 3/2 b = (0,-3)

9 Slope-Intercept Form: m = slope of lineb = y-intercept What is the equation of the line? m = 3/4 b = (0,4)

10 What is Point-Slope Form? We are going to use this, when given slope, m, and a random point, (x 1,y 1 )

11 Given a point (6,2) and m = 2/3, write the equation of the line. What if the directions said to write the equation in slope-intercept form? +2 This is the equation of the line in point-slope form!!

12 Given a point (1,-5) and m = 3, write the equation of the line. What if the directions said to write the equation in slope-intercept form? - 5 This is the equation of the line in point-slope form!!

13 Given a point (-3,7) and m = -2, write the equation of the line. What if the directions said to write the equation in slope-intercept form? +7 This is the equation of the line in point-slope form!!

14 Given a point (2,3) and m = 3 create an equation of the line. Using Slope-Intercept: We don’t know the y-intercept, so let’s plug in what we know and solve for “b” -6 Now just plug in the “m” and “b” Using Point-Slope Form: Just plug in everything you know! Now just solve for “y” +3 Which way is easier???

15 Using Point-Slope Form 1243 5 -2-3-4-5 1 2 3 4 5 -2 -3 -4 -5 (2,2) We need the slope and a point: Plug it into the point- slope form Simplify

16 Write the Equation in Point-Slope Form - 6


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