Question

which of the following is the equation that represents the graph?
options:
$y = \frac{3}{2}x - 3$
$y = -\frac{3}{2}x - 2$

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -3)$, so $b=-3$.

Step2: Calculate slope

Use two points $(0, -3)$ and $(-2, 0)$. Slope $m=\frac{0-(-3)}{-2-0}=\frac{3}{-2}=-\frac{3}{2}$.

Step3: Write slope-intercept form

Slope-intercept formula is $y=mx+b$. Substitute $m=-\frac{3}{2}$ and $b=-3$.
Expression: $y=-\frac{3}{2}x-3$

Answer:

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