Question

a line passes through the points (-9, -5) and (1, -5). 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 $(x_1,y_1)=(-9,-5)$ and $(x_2,y_2)=(1,-5)$.
$m=\frac{-5-(-5)}{1-(-9)}=\frac{0}{10}=0$

Step2: Find y-intercept

Use slope-intercept form $y=mx+b$, substitute $m=0$ and $(x,y)=(-9,-5)$.
$-5=0\times(-9)+b$
$b=-5$

Step3: Write final equation

Substitute $m=0$ and $b=-5$ into $y=mx+b$.
$y=0x-5$ which simplifies to $y=-5$

Answer:

$y=-5$