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 boundary line

The boundary line passes through $(0,0)$ and $(4,3)$. Slope $m=\frac{3-0}{4-0}=\frac{3}{4}$

Step2: Identify y-intercept

The line crosses the y-axis at $(0,0)$, so $b=0$. Boundary equation: $y=\frac{3}{4}x$

Step3: Determine inequality symbol

Dashed line, shaded region above the line, so use $>$.

Answer:

$y > \frac{3}{4}x$