Question

write an inequality represented by the graph.

Explanation:

Step1: Find line slope-intercept form

First, identify two points on the line: $(0, -3)$ (y-intercept) and $(-1, 1)$. Calculate slope:
$m = \frac{1 - (-3)}{-1 - 0} = \frac{4}{-1} = -4$
Slope-intercept form: $y = -4x - 3$

Step2: Determine inequality symbol

The line is solid, so use $\leq$ or $\geq$. The shaded region is to the left of the line; test $(0,0)$: $0 \leq -4(0)-3$ is false, $0 \geq -4(0)-3$ is true. Rewrite to match shaded region:
$y \geq -4x - 3$ or $4x + y \geq -3$

Answer:

$\boldsymbol{y \geq -4x - 3}$ (or equivalent $\boldsymbol{4x + y \geq -3}$)