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

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

The boundary line passes through ((0,0)) and ((1,- 8)). The slope (m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-8 - 0}{1 - 0}=-8)

Step2: Determine the inequality symbol

The boundary line is dashed, so the inequality is either (y>mx + b) or (y<mx + b). We can test a point in the shaded region, say ((0,8)). Substitute (x = 0), (y = 8) and (m=-8), (b = 0) into (y) and (mx + b). (y=8), (mx + b=-8\times0+0 = 0) Since (8>0), the inequality symbol is (>)

Step3: Write the inequality in slope - intercept form

The slope - intercept form of a line is (y=mx + b). Here (m=-8) and (b = 0) The inequality is (y>-8x+0)

Answer:

(y>-8x)