D) The coordinates of the midpoint of the line segment AB are (1,-2). The coordinate of A are (-3, 2). Find coordinate of B.

Step-by-step explanation:

midpoint C(1,-2)

AC:  

Δx = 1-(-3) = 4

Δy = -2-2 = -4

Extrapolate from C to B

(1+4, -2-4) = B(5,-6)

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)