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The two lines are perpendicular.  The slopes will be negative reciprocals

if the slope of the red line is -2

the slope of the green line is -(1/-2) = 1/2

To check, multiply the two slopes together and they should = -1

(-2) * 1/2 = -1  so they are negative reciprocals and are parallel

Choice D

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: