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 of the line

The line passes through $(5,0)$ and $(0,-5)$. Slope $m = \frac{0 - (-5)}{5 - 0} = \frac{5}{5} = 1$

Step2: Identify y-intercept

The line crosses the y-axis at $(0,-5)$, so $b = -5$. The line's equation is $y = x - 5$.

Step3: Determine inequality symbol

The line is dashed, so the boundary is not included. The shaded region is above the line, so use $>$.

Answer:

$y > x - 5$