Slope-Intercept Form 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 slopenegative slopezero slopeundefined 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 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,

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)

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. Which direction should the line point? 1. Plot the point. 2. Use the slope to find a second point. Rise then run! rise run

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 slope-intercept form.

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

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

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

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

Graph the line.

Slide 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

Slide 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

Slide 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

Slide 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

Slide 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)

Slide 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)