Question

this is the graph of a linear inequality. write the inequality in slope-intercept form. write your answer with y first, followed by an inequality symbol. use integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Find slope-intercept line form

Identify two points on the dashed line: $(0, 1)$ and $(1, -2)$.
Slope $m = \frac{-2 - 1}{1 - 0} = -3$.
Y-intercept $b = 1$, so line equation: $y = -3x + 1$.

Step2: Determine inequality symbol

Shaded region is above the dashed line, so use $>$.

Step3: Write final inequality

Rearrange to $y$ first: $y > -3x + 1$.

Answer:

$y > -3x + 1$