this is the graph of a linear inequality. write the inequality in slope-intercept form.\n\nwrite your answer…

this is the graph of a linear inequality. write the inequality in slope-intercept form.\n\nwrite your answer with y first, followed by an inequality symbol. use integers, proper fractions, and improper fractions in simplest form.

this is the graph of a linear inequality. write the inequality in slope-intercept form.\n\nwrite your answer with y first, followed by an inequality symbol. use integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Find the slope and y-intercept

The line passes through ((0, 5)) (y-intercept, so (b = 5)) and ((5, 0)). The slope (m=\frac{0 - 5}{5 - 0}=\frac{-5}{5}=-1). So the equation of the line is (y=-x + 5).

Step2: Determine the inequality symbol

The line is solid (so the inequality includes equality) and the shaded region is above the line (so (y) is greater than or equal to the line's equation). So the inequality is (y\geq -x + 5).

Answer:

(y\geq -x + 5)