Question

write an equation of the line below.

Explanation:

Step1: Identify two points

The line passes through $(-3, 0)$ and $(-5, 6)$.

Step2: Calculate slope $m$

Use slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{6-0}{-5-(-3)}=\frac{6}{-2}=-3$

Step3: Find y-intercept $b$

Use point $(-3,0)$ in $y=mx+b$:
$0 = -3(-3) + b$
$0=9+b$
$b=-9$

Step4: Write line equation

Substitute $m=-3, b=-9$ into $y=mx+b$.
$y=-3x-9$

Answer:

$y=-3x-9$