Question

learn with an example
this is the graph of a linear inequality. write the inequality in slope - intercept form.

Explanation:

Step1: Find line slope-intercept form

Identify two points on the line: $(0,4)$ and $(4,0)$.
Slope $m = \frac{0-4}{4-0} = -1$.
Y-intercept $b=4$, so line equation: $y = -x + 4$.

Step2: Determine inequality direction

Shaded area is above the dashed line, so use $>$.

Answer:

$y > -x + 4$