This topic focuses on determining the run of a line, which is the horizontal change (change in x-values) between two points given specific inputs and outputs (function values) of y = f(x). Skills emphasized include understanding the relationship between coordinates, interpreting the meaning of 'run' in the context of line equations, and applying these concepts to calculate intervals between x-values in the context of graphing and linear equations. Questions provide pairs of x-values with corresponding y-values and ask for the change in x. Multiple choice answers are available for each question.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Run of a Line from Coordinates of Points Given as Function Outputs
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
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
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 2)'. Part of a broader unit on 'Line Equations and Graphing - Practice' Learn online: app.mobius.academy/math/units/line_equations_and_graphing_practice/ |
| Find the run of the line (change in x) between 1 and 2 given the two values for y = f(x) |
| f(1) = 9 f(2) = 4 |
| -5 |
| 1.8 |
| -1 |
| 1 |
| 1.6 |
| 1.4 |
| Find the run of the line (change in x) between 2 and 3 given the two values for y = f(x) |
| f(2) = 0 f(3) = 4 |
| 0 |
| 0.6 |
| -1 |
| 1.2 |
| 4 |
| 1 |
| Find the run of the line (change in x) between 6 and 10 given the two values for y = f(x) |
| f(6) = 4 f(10) = 7 |
| -4 |
| 5.6 |
| 4 |
| 4.8 |
| 6.4 |
| -1.6 |
| Find the run of the line (change in x) between 5 and 6 given the two values for y = f(x) |
| f(5) = 0 f(6) = 7 |
| 0.6 |
| 1.8 |
| 7 |
| -1 |
| 1 |
| 2.6 |
| Find the run of the line (change in x) between 4 and 10 given the two values for y = f(x) |
| f(4) = 0 f(10) = 5 |
| -6 |
| -18 |
| 1.2 |
| -5 |
| -2.4 |
| 6 |
| Find the run of the line (change in x) between 3 and 9 given the two values for y = f(x) |
| f(3) = 10 f(9) = 5 |
| -6 |
| 9.6 |
| -4.8 |
| 6 |
| 10.8 |
| 2.4 |
| Find the run of the line (change in x) between 3 and 5 given the two values for y = f(x) |
| f(3) = 4 f(5) = 9 |
| -0.4 |
| -5 |
| -2 |
| -1.2 |
| 0.8 |
| 2 |