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 $(3, 0)$:
$m = \frac{0 - (-2)}{3 - 0} = \frac{2}{3}$

Step3: Write linear equation

Substitute $m$ and $b$ into $y = mx + b$.
$y = \frac{2}{3}x - 2$

Answer:

$y = \frac{2}{3}x - 2$