Question

write an equation of the line below.

Explanation:

Step1: Identify two points

The line passes through $(0, 2)$ and $(-7, -2)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-2-2}{-7-0}=\frac{-4}{-7}=\frac{4}{7}$

Step3: Find y-intercept $b$

The line crosses y-axis at $(0,2)$, so $b=2$.

Step4: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=\frac{4}{7}$ and $b=2$.

Answer:

$y=\frac{4}{7}x+2$