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

The line passes through (0, -3) and (6, 0). Slope $m = \frac{0 - (-3)}{6 - 0} = \frac{3}{6} = \frac{1}{2}$.

Step2: Identify intercept

Y-intercept $b = -3$ (when $x=0$, $y=-3$).

Step3: Determine inequality symbol

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

Step4: Write inequality

Combine slope and intercept: $y > \frac{1}{2}x - 3$.

Answer:

$y > \frac{1}{2}x - 3$