Question

write, in slope - intercept - form, the inequality shown in the graph. two points which the boundary line intersects are shown.

Explanation:

Step1: Identify boundary points

Points: $(0, -8)$ and $(5, 10)$

Step2: Calculate slope $m$

$m = \frac{10 - (-8)}{5 - 0} = \frac{18}{5} = 3.6$

Step3: Find y-intercept $b$

From point $(0, -8)$, $b = -8$

Step4: Write line equation

$y = \frac{18}{5}x - 8$

Step5: Determine inequality sign

Shaded area is right of solid line: $y \geq \frac{18}{5}x - 8$

Answer:

$y \geq \frac{18}{5}x - 8$