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Slope-Intercept Form 4.4 1.Compare lines with different slopes. 2.Graph equations in slope-intercept form. 3.Find the slope of a line given two points.

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Presentation on theme: "Slope-Intercept Form 4.4 1.Compare lines with different slopes. 2.Graph equations in slope-intercept form. 3.Find the slope of a line given two points."— Presentation transcript:

1 Slope-Intercept Form 4.4 1.Compare lines with different slopes. 2.Graph equations in slope-intercept form. 3.Find the slope of a line given two points on the line.

2 Objective Compare lines with different slopes.

3 Slope of a Line positive slopenegative slopezero slopeundefined slope

4 Objective Find the slope of a line given two points on the line.

5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The Slope Formula Rise: y 2 – y 1 Run: x 2 – x 1 Given two points (x 1, y 1 ) and (x 2, y 2 ), where x 2  x 1,

6 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find the slope of the line connecting the given points. (4, 6) and (–2, 8)

7 Find the slope of the line connecting the given points. (1, 5) and (–2, 3)

8 Find the slope of the line connecting the given points. (-4, -6) and (2, -3)

9 Find the slope of the line connecting the given points. (3, 8) and (–2, 8)

10 Find the slope of the line connecting the given points. (7, -2) and (7, 4)

11 Use a point and the slope to graph a line. Graph the line through the point with the given slope. Which direction should the line point? 1. Plot the point. 2. Use the slope to find a second point. Rise then run! rise run

12 Graph the line through the point with the given slope. Which direction should the line point? Use a point and the slope to graph a line.

13 Graph the line through the point with the given slope. Which direction should the line point?

14 Objective Graph equations in slope-intercept form.

15 Slope Intercept Form m is the slope b is the y-intercept

16 Graph the line given in slope-intercept form. Point? Slope? Which direction should the line point? (0, 5) Down from left to right

17 Graph the line given in slope-intercept form. Point? Slope? Which direction should the line point? (0, -4) Up from left to right

18 Graph the line. Which method? Standard Form: x-, y-intercepts Slope-Intercept Form: point and slope

19 Graph the line.

20 Slide 4- 20 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley What is the slope of the line 3x + y = 6? a) m = 3 b) m =  3 c) d) m = 2

21 Slide 4- 21 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley What is the slope of the line 3x + y = 6? a) m = 3 b) m =  3 c) d) m = 2

22 Slide 4- 22 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley How would you graph the line y = 3x – 2? a) Plot (0, –2), down 2, right 3 b) Plot (0, –2), down 3, right 1 c) Plot (0, 2), up 3, left 2 d) Plot (0, –2), up 3, right 1

23 Slide 4- 23 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley How would you graph the line y = 3x – 2? a) Plot (0, –2), down 2, right 3 b) Plot (0, –2), down 3, right 1 c) Plot (0, 2), up 3, left 2 d) Plot (0, –2), up 3, right 1

24 Slide 4- 24 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley What is the slope of the line through the given points (5, 6) and (6,  3)? a) m =  9 b) m = 9 c) d)

25 Slide 4- 25 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley What is the slope of the line through the given points (5, 6) and (6,  3)? a) m =  9 b) m = 9 c) d)


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