Question

the graph of a linear function f is shown. a. identify the slope, y-intercept, and x-intercept. b. write the equation that defines f. the slope is \\(\square\\) (type an integer or a simplified fraction.)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 8)\) (the y - intercept) and \((2, 0)\) (the x - intercept).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,8)\) and \((x_2,y_2)=(2,0)\). Then \(m=\frac{0 - 8}{2 - 0}=\frac{-8}{2}=- 4\).

Answer:

\(-4\)