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

Points: $(0, -4)$ and $(2, 0)$

Step2: Calculate rate of change (slope)

Slope formula: $\frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2$

Step3: Identify initial value (y-intercept)

The y-intercept is the y-value when $x=0$, which is $-4$.

Answer:

Rate of change: $2$
Initial value: $-4$