Question

find an equation for the line below.

Explanation:

Step1: Identify two points on the line

The line passes through $(-4, -4)$ and $(-1, 2)$.

Step2: Calculate the slope $m$

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$$m=\frac{2-(-4)}{-1-(-4)}=\frac{6}{3}=2$$

Step3: Find y-intercept $b$

Use point-slope form $y-y_1=m(x-x_1)$ with $(-1,2)$:
$$y-2=2(x-(-1))$$
Simplify to slope-intercept form $y=mx+b$:
$$y-2=2x+2$$
$$y=2x+4$$

Answer:

$y=2x+4$