5.2 Defining Slope

Student Study Guide

Examine the graphs below. Which lines have a positive slope? Negative slope?

Zero or undefined?

Negative Slope Zero Slope

Examine the graphs below. Which lines have a positive slope? Negative slope? Zero or

undefined?

Positive Slope

3. 4.

Zero Slope

Slope = m = Rise Run

Use the graph to find the slope of each line.

5. AB4

2

Slope 4 =2

2

7. EF

Slope Zero

Use the graph to find the slope of each line.

9. IJ

-5

2

Slope -52

11. MN

Undefined

Find the slope of each line.

13. Rise: -5; Run: -5

-5 = -5

15. Rise: -3; Run: 4

-3 4

1

Slope = y2 - y1

x2 - x1

Find the slope of the line containing each pair of points.17. A (3, 9), B(1, 5)

Slope = y2 - y1

x2 - x1

x1, y1 x2, y2

5 - 9 =1 - 3

-4 =-2

2

Find the slope of the line containing each pair of points.19. A (-3, 10), B(-5, -4)

Slope = y2 - y1

x2 - x1

x1, y1 x2, y2

-4 - 10 =-5 - (-3)

-14 =-2

7

Find the slope of the line containing each pair of points.21. A (3, -2), B(-1, 3)

Slope = y2 - y1

x2 - x1

x1, y1 x2, y2

3 - (-2) =-1 - 3

5 -4

Find the slope of the line containing each pair of points.23. A (1, 8), B(-1, 7)

Slope = y2 - y1

x2 - x1

x1, y1 x2, y2

7 - 8 =-1 - 1

-1 =-2

12

Find the slope of the line containing each pair of points.25. A (0, 4), B(3, -2)

Slope = y2 - y1

x2 - x1

x1, y1 x2, y2

-2 - 4 =3 - 0

-6 = 3

-2

Find the slope of the line containing each pair of points.27. A (-9, 9), B(7, -2)

Slope = y2 - y1

x2 - x1

x1, y1 x2, y2

-2 - 9 =7 - (-9)

-1116