Question

find the rate of change and initial value for the linear function
a) the rate of change (slope) is
-7/8
-7/8
8/7
-8/7

b) the initial value (y - intercept) is

Explanation:

Step1: Identify two points on line

Choose points $(0, -8)$ and $(7, -1)$

Step2: Calculate slope (rate of change)

Use slope formula $\frac{y_2 - y_1}{x_2 - x_1}$
$\text{Slope} = \frac{-1 - (-8)}{7 - 0} = \frac{7}{8}$

Step3: Identify initial value (y-intercept)

The y-intercept is the y-value where $x=0$, which is $-8$.

Answer:

a) The rate of change (slope) is $\frac{7}{8}$
b) The initial value (y-intercept) is $-8$