This math topic focuses on calculating the slope of a line given two points, where the points are defined by function outputs. It involves determination of the slope using various pairs of x and y values, considering scenarios where both the x-values differ and where they are the same. The ability to handle cases where a vertical line might occur (resulting in an undefined slope) is also practiced. This is an essential skill in understanding line equations and graphing, improving one's ability to analyze and represent linear relationships graphically and algebraically.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Slope of a Line from Points Given as Function Outputs
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find the slope of the line between 3 and 6 given the two values for y = f(x)
f(3) = 1
f(6) = 4
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 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 slope of the line between 3 and 4 given the two values for y = f(x) |
| f(3) = 0 f(4) = 4 |
| 2 |
| -2.4 |
| -2.25 |
| 0.25 |
| 4 |
| -0.5 |
| Find the slope of the line between 5 and 10 given the two values for y = f(x) |
| f(5) = 4 f(10) = 5 |
| -0.5 |
| 0.52 |
| 0.2 |
| -0.04 |
| 0.24 |
| 5 |
| Find the slope of the line between 4 and 6 given the two values for y = f(x) |
| f(4) = 0 f(6) = 2 |
| 1.4 |
| -0.6 |
| 0 |
| -0.75 |
| 1 |
| 1.75 |
| f(1) = 10 f(8) = 10 |
| Find the slope of the line between 1 and 8 given the two values for y = f(x) |
| -2 |
| 0 |
| -0.25 |
| ∞ |
| -1.75 |
| -0.75 |
| Find the slope of the line between 1 and 4 given the two values for y = f(x) |
| f(1) = 2 f(4) = 7 |
| 0.6 |
| 0.75 |
| -0.25 |
| 0.33 |
| 1.67 |
| 2 |
| Find the slope of the line between 1 and 3 given the two values for y = f(x) |
| f(1) = 2 f(3) = 6 |
| 0.4 |
| 5.6 |
| 2 |
| 0.5 |
| -2 |
| 5.2 |
| Find the slope of the line between 0 and 1 given the two values for y = f(x) |
| f(0) = 2 f(1) = 5 |
| 0.6 |
| -2.25 |
| -1.25 |
| 0.25 |
| -2.5 |
| 3 |