Question

which equation represents the graph?

Explanation:

Step1: Identify slope and y-intercept

The line crosses the y-axis at $(0, -2)$, so $b=-2$. Using points $(0, -2)$ and $(-1, 0)$, slope $m=\frac{0-(-2)}{-1-0}=-2$.

Step2: Write slope-intercept form

Substitute $m=-2$ and $b=-2$ into $y=mx+b$.
<Expression>
$y = -2x - 2$
</Expression>

Answer:

$y = -2x - 2$