Question

write the equation of the line in fully simplified slope - intercept form.

Explanation:

Step1: Identify intercepts

y-intercept: $(0, 8)$; x-intercept: $(4, 0)$

Step2: Calculate slope

$m = \frac{0 - 8}{4 - 0} = \frac{-8}{4} = -2$

Step3: Write slope-intercept form

Slope-intercept form is $y = mx + b$, substitute $m=-2$, $b=8$:
$y = -2x + 8$

Answer:

$y = -2x + 8$