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 -4 (type an integer or a simplified fraction ) the y-intercept is (0,8) (type an ordered pair ) the x-intercept is (2,0) (type an ordered pair ) write equation that defines f. f(x)=\square

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear equation is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Step2: Substitute given values

We know the slope \( m = -4 \) and the y-intercept \( b = 8 \) (from the point \( (0, 8) \)). Substituting these into the slope-intercept form, we get \( y = -4x + 8 \). Since the function is \( f(x) \), we can write it as \( f(x) = -4x + 8 \).

Answer:

\( f(x) = -4x + 8 \)