The boundary line for the linear inequality goes through the points (-6,-4) and (3,-1). The point (9,1) is not a solution to this inequality and neither is (-4,7). Write and graph an inequality to represent the situation.

Respuesta :

Answer:

y <  [tex]\frac{1}{3}[/tex] x - 2

Step-by-step explanation:

Slope of the line m = [tex]\frac{-4+1}{-6-3}[/tex] = [tex]\frac{1}{3}[/tex]

y + 1 = [tex]\frac{1}{3}[/tex] (x - 3)

y = [tex]\frac{1}{3}[/tex] x - 2

Points (9, 1) and (- 4, 7) are not solutions, then

1 < [tex]\frac{1}{3}[/tex] (9) - 2

7 < [tex]\frac{1}{3}[/tex] (- 4) - 2

Thus, the inequality is y <  [tex]\frac{1}{3}[/tex] x - 2  

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