Question

WILL MARK BRAINIEST

Answer 1

Answer:

$f(x) = -4x - 2$

Step-by-step explanation:

To derive the function rule in slope-intercept form, $f(x) = mx + b$, we need to find the slope, m, and the y-intercept, b, of the graph given.

Using two points on the line, (-1, 2) and (0, -2), find slope (m) as shown below:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 2}{0 -(-1)} = \frac{-4}{1} = -4$

m = -4

The line intercepts the y-axis at y = -2, therefore the y-intercept, b, = -2.

Substitute m = -4, and b = -2 into $f(x) = mx + b$.

The function rule in slope-intercept form would be:

$f(x) = -4x +(-2)$

$f(x) = -4x - 2$