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: Identify line intercepts

The dashed line crosses the y-axis at $(0, 3)$ and the x-axis at $(-1, 0)$.

Step2: Calculate slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{0 - (-1)} = 3$

Step3: Write line equation

Using slope-intercept form $y = mx + b$, substitute $m=3$, $b=3$:
$y = 3x + 3$

Step4: Determine inequality symbol

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

Answer:

$y > 3x + 3$