Question

this is the graph of a linear inequality. write the inequality in slope-intercept form.

Explanation:

Step1: Find line slope-intercept form

Identify two points on the dashed line: $(0, -3)$ and $(3, 3)$.
Slope $m = \frac{3 - (-3)}{3 - 0} = \frac{6}{3} = 2$.
Y-intercept $b = -3$, so line equation: $y = 2x - 3$.

Step2: Determine inequality direction

Shaded region is left of the dashed line, so test $(0,0)$: $0 > 2(0) - 3$ (true).
Dashed line means no equality, so use $>$.

Answer:

$y > 2x - 3$