Question

ite the equation of the line in fully simplified slope - intercept form.
answer
answer:

Explanation:

Step1: Identify two points on line

We can pick the y-intercept $(0, -8)$ and another point, e.g., $(6, -12)$.

Step2: Calculate the slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-12 - (-8)}{6 - 0}=\frac{-4}{6}=-\frac{2}{3}$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$, where $b=-8$ (y-intercept).
$y=-\frac{2}{3}x - 8$

Answer:

$y=-\frac{2}{3}x - 8$