Question

write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope (m)

Use two points: $(0,2)$ and $(1,-2)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-2-2}{1-0}=\frac{-4}{1}=-4$

Step3: Write linear equation

Use slope-intercept form $y=mx+b$.
Substitute $m=-4$ and $b=2$.

Answer:

$y=-4x+2$