4 4 SlopeIntercept Form 1 Compare lines with

4. 4 Slope-Intercept Form 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.

Objective Compare lines with different slopes.

Slope of a Line positive slope negative slope zero slope undefined slope

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

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

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

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

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

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

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

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

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?

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?

Objective Graph equations in slopeintercept form.

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

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

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

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

Graph the line.

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

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

How would you graph the line y = 3 x – 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 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4 - 22

How would you graph the line y = 3 x – 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 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4 - 23

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

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