Question

a line passes through the points (-8, -20) and (12, -20). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Let $(x_1,y_1)=(-8,-20)$ and $(x_2,y_2)=(12,-20)$.
$m=\frac{-20-(-20)}{12-(-8)}=\frac{0}{20}=0$

Step2: Find y-intercept

Use slope-intercept form $y=mx+b$, substitute $m=0$ and point $(-8,-20)$:
$-20=0\times(-8)+b$
$b=-20$

Step3: Write final equation

Substitute $m=0$ and $b=-20$ into $y=mx+b$.
$y=0x-20$ simplifies to $y=-20$

Answer:

$y=-20$