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

This topic focuses on finding the rise of a line, which is the change in the y-values (Δy), given two points in the context of their function outputs, f(x). The problems require calculating the difference in the y-values for specific x-intervals such as from x=5 to x=7 (f(5) to f(7)) among others. Essentially, learners are required to understand and apply the concepts of the slope (rise/run) of a line, though only the "rise" aspect is emphasized here under various increments along the x-axis.

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

Rise of a Line from Coordinates of Points Given as Function Outputs Worksheet

Math worksheet on 'Rise of a Line from Coordinates of 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 rise of the line (change in y) between 0 and 1 given the two values for y = f(x)

f(0) = 0 f(1) = 2

a

1.2

b

1

c

2

d

-0.4

e

-2

f

3.6

2

Find the rise of the line (change in y) between 3 and 4 given the two values for y = f(x)

f(3) = 5 f(4) = 7

a

2

b

-0.4

c

-1.6

d

-2

e

0.4

f

3.2

3

Find the rise of the line (change in y) between 4 and 10 given the two values for y = f(x)

f(4) = 0 f(10) = 8

a

0

b

16

c

12.8

d

6

e

8

f

4.8

4

Find the rise of the line (change in y) between 1 and 3 given the two values for y = f(x)

f(1) = 0 f(3) = 7

a

21

b

2

c

-7

d

-5.6

e

7

f

4.2

5

Find the rise of the line (change in y) between 3 and 10 given the two values for y = f(x)

f(3) = 2 f(10) = 5

a

3

b

1.2

c

3.6

d

5.4

e

7

f

-3

6

f(6) = 1 f(10) = 10

Find the rise of the line (change in y) between 6 and 10 given the two values for y = f(x)

a

-9

b

16.2

c

9

d

10.8

e

3.6

f

4

7

Find the rise of the line (change in y) between 4 and 6 given the two values for y = f(x)

f(4) = 1 f(6) = 4

a

-3

b

2

c

-2.4

d

0.6

e

7.8

f

3