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 $(4, 0)$

Step2: Calculate rate of change

Use slope formula $\frac{y_2 - y_1}{x_2 - x_1}$
$\frac{0 - 2}{4 - 0} = \frac{-2}{4} = -\frac{1}{2}$

Step3: Identify initial value

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

Answer:

Rate of change: $-\frac{1}{2}$
Initial value: $2$