Topic 1: Linear Functions - Rate of Change

Vocabulary flashcards covering linear function rates of change, the slope formula, and specific graph calculations from the topic practice worksheet.

Rate of Change

The slope of a linear function, which measures the ratio of the change in $y$ to the change in $x$.

Slope Formula

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$

Slope of a Horizontal Line

$$m = 0$$

Topic Practice: Linear Functions Skills Practice

Practice worksheet focusing on using graphs or the slope formula to determine the rate of change (slope) of linear functions.

Slope of Graph 1

$$m = 0$$

Slope of Graph 2

$m = \frac{7}{6}$, calculated using points $(3, 5)$ and $(9, 12)$

Slope of Graph 3

$m = -\frac{5}{12}$, calculated using points $(1, 7)$ and $(13, 2)$

Slope of Graph 4

$m = \frac{5}{8}$, calculated using points $(2, -8)$ and $(10, -3)$