Question

question 4 what is the equation of the line? (with a coordinate grid showing a line passing through (-2, 3) and the origin)

Explanation:

Step1: Identify slope and intercept

The line passes through the origin $(0,0)$, so y-intercept $b=0$. Use point $(-2,3)$ to find slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{-2-0}=-\frac{3}{2}$.

Step2: Write line equation

Use slope-intercept form $y=mx+b$. Substitute $m=-\frac{3}{2}$ and $b=0$.
<Expression>
$y=-\frac{3}{2}x$
</Expression>

Answer:

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