Question

write the equation of the line in fully simplified slope-intercept form.

Explanation:

Step1: Identify intercept points

The y-intercept is $(0, 3)$, so $b=3$. The x-intercept is $(2, 0)$.

Step2: Calculate the slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{0-3}{2-0}=\frac{-3}{2}$

Step3: Write slope-intercept form

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

Answer:

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