Question

find the rate of change of the linear function shown in the graph. then find the initial value.
the rate of change is $square$.
(simplify your answer.)

Explanation:

Step1: Pick two points on the line

Choose points $(0, -2)$ and $(10, -10)$

Step2: Calculate rate of change

Rate of change = $\frac{\text{Change in } y}{\text{Change in } x} = \frac{-10 - (-2)}{10 - 0}$
$\frac{-10 + 2}{10} = \frac{-8}{10} = -\frac{4}{5}$

Step3: Identify initial value

Initial value is the $y$-intercept, when $x=0$, $y=-2$

Answer:

Rate of change: $-\frac{4}{5}$
Initial value: $-2$