Slope of a Line from Points Given as Function Outputs (Level 1)

This math topic focuses on calculating the slope of a line given function outputs at two different points. Students are provided coordinates in the form of function values \( f(x) \) at different \( x \) values and are required to find the slope of the line connecting these points. The exercises enhance understanding of the concept of slope within the broader context of line equations and graphing. Each question presents multiple answer choices, aiding in practice with solving for the slope formula: \( slope = \frac{\Delta y}{\Delta x} \).

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Slope of a Line from Points Given as Function Outputs Worksheet

Math worksheet on 'Slope of a Line from Points Given as Function Outputs (Level 1)'. Part of a broader unit on 'Line Equations and Graphing - Practice' Learn online: app.mobius.academy/math/units/line_equations_and_graphing_practice/

1

Find the slope of the line between 5 and 10 given the two values for y = f(x)

f(5) = 7 f(10) = 9

a

0.24

b

-2.5

c

0.32

d

2.5

e

0.4

f

-0.08

2

Find the slope of the line between 7 and 8 given the two values for y = f(x)

f(7) = 6 f(8) = 10

a

-1

b

6.4

c

4

d

0.8

e

1

f

0.25

3

Find the slope of the line between 4 and 5 given the two values for y = f(x)

f(4) = 2 f(5) = 7

a

5

b

0.2

c

0.75

d

1.75

e

2

f

-1.5

4

Find the slope of the line between 4 and 7 given the two values for y = f(x)

f(4) = 2 f(7) = 9

a

2.33

b

0.43

c

7

d

0.5

e

2.8

f

-2.33

5

Find the slope of the line between 2 and 6 given the two values for y = f(x)

f(2) = 3 f(6) = 4

a

0.4

b

0.25

c

-0.1

d

2.25

e

4

f

0.75

6

Find the slope of the line between 0 and 1 given the two values for y = f(x)

f(0) = 6 f(1) = 8

a

0.5

b

-2

c

2

d

-1.6

e

5.2

f

0.4

7

Find the slope of the line between 2 and 8 given the two values for y = f(x)

f(2) = 1 f(8) = 9

a

0

b

1.75

c

1.33

d

-2.25

e

0.75

f

-0.27