Question

write an equation for this line in slope - intercept form.

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope

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

Step3: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=1$ and $b=2$.

Answer:

$y=x+2$