Question

write an equation of the line below.

Explanation:

Step1: Identify two points

The line passes through $(0,1)$ and $(-3,-7)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-7-1}{-3-0}=\frac{-8}{-3}=\frac{8}{3}$

Step3: Find y-intercept $b$

The line crosses y-axis at $(0,1)$, so $b=1$.

Step4: Write line equation

Slope-intercept form: $y=mx+b$
Substitute $m=\frac{8}{3}$ and $b=1$.

Answer:

$y=\frac{8}{3}x+1$