Hlllppp me

which linear inequality is represented by the graph?

y ≥ x – 4

y ≤ x – 4

y ≤ x + 4

y ≥ x + 4

ANSWER

EXPLANATION

First, find the equation of the boundary line which passes through the point

(3,-3) and has a y-intercept of -4.

The slope of this line is,

The equation of this line is

Since the lower half plane is shaded and the boundary line is solid. The required inequality is

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)