Select the correct answer.

What is the equation of this graph?

A.
(y + 4)2 = -8(x − 5)

B.
(y − 5)2 = -8(x + 4)

C.
(x + 4)2 = -8(y − 5)

D.
(x − 5)2 = -8(y + 4)

2500

step-by-step explanation:

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)

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

it has to have an angle of 90 degrees