Question

this is the graph of a linear inequality. write the inequality in slope - intercept form. this is the graph of a linear inequality. write the inequality in slope - intercept form. (the graph is a coordinate plane with a purple shaded region, a dashed line, and axes labeled x and y. the line passes through some points, and the shaded area is above or below the line. the bottom part of the text says to answer with y first, followed by an inequality symbol. use integers, proper... )

Explanation:

Step1: Find line slope-intercept form

Identify two points on the dashed line: $(0, -5)$ and $(3, -8)$.
Slope $m = \frac{-8 - (-5)}{3 - 0} = \frac{-3}{3} = -1$.
The y-intercept $b = -5$, so the line equation is $y = -x - 5$.

Step2: Determine inequality symbol

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

Step3: Write final inequality

Combine the line form and symbol.

Answer:

$y > -x - 5$