Question

find the rate of change and initial value for the linear function.
the rate of change is $square$. (simplify your answer.)

Explanation:

Step1: Identify two points on line

Choose points $(5,0)$ and $(0,5)$

Step2: Calculate rate of change

Use slope formula $\frac{y_2-y_1}{x_2-x_1}$
$\frac{5-0}{0-5} = \frac{5}{-5} = -1$

Step3: Find initial value

Initial value is y-intercept, when $x=0$, $y=5$

Answer:

Rate of change: $-1$
Initial value: $5$