Question

this is the graph of a linear inequality. write the inequality in slope-intercept form.

Explanation:

Step1: Identify line intercepts

The line crosses the y-axis at $(0,5)$ and x-axis at $(2.5,0)$.

Step2: Calculate slope of the line

Slope $m = \frac{0-5}{2.5-0} = -2$

Step3: Write line's slope-intercept form

Using $y=mx+b$ with $b=5$: $y = -2x + 5$

Step4: Determine inequality symbol

Shaded area is above the solid line, so use $\geq$.

Answer:

$y \geq -2x + 5$