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

This math topic focuses on calculating the run of a line from given coordinates, specifically the change in the x-values (Δx) between two points on a line. These problems help in understanding and applying the concept of run in the context of linear equations and graphing. Participants are asked to find the run using the y-values provided by a function output for different x-values, enhancing their skills in interpreting and manipulating linear relationships between variables. Each question involves practical application by determining the horizontal change (run) over specified intervals.

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

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

Math worksheet on 'Run 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 run of the line (change in x) between 4 and 6 given the two values for y = f(x)

f(4) = 8 f(6) = 10

a

-2

b

-0.4

c

-1.2

d

-1.6

e

3.2

f

2

2

Find the run of the line (change in x) between 5 and 6 given the two values for y = f(x)

f(5) = 4 f(6) = 5

a

1.6

b

1

c

2.4

d

0.2

e

2

f

-1

3

Find the run of the line (change in x) between 2 and 5 given the two values for y = f(x)

f(2) = 6 f(5) = 10

a

3

b

-3

c

4

d

2.4

e

0

f

7.2

4

Find the run of the line (change in x) between 6 and 9 given the two values for y = f(x)

f(6) = 2 f(9) = 7

a

2.4

b

3

c

-3

d

-2.4

e

5

f

0

5

Find the run of the line (change in x) between 5 and 6 given the two values for y = f(x)

f(5) = 5 f(6) = 10

a

1

b

5

c

-1

d

2.2

e

2.4

f

2

6

Find the run of the line (change in x) between 4 and 9 given the two values for y = f(x)

f(4) = 0 f(9) = 3

a

-5

b

0

c

3

d

5

e

-4

f

-1

7

Find the run of the line (change in x) between 7 and 9 given the two values for y = f(x)

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

a

1

b

-1.2

c

-2

d

3.2

e

-0.4

f

2