Question

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

Explanation:

Step1: Identify two points on line

Choose points $(-12, 6)$ and $(0, -6)$

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-6-6}{0-(-12)}=\frac{-12}{12}=-1$

Step3: Find y-intercept $b$

The line crosses y-axis at $(0, -6)$, so $b=-6$

Step4: Write slope-intercept form

Slope-intercept form: $y=mx+b$
Substitute $m=-1$, $b=-6$

Answer:

$y = -x - 6$