--------------------------------------------------------------------------------------------------------
Find Slope:
--------------------------------------------------------------------------------------------------------
y = 1/4x - 7
Slope = 1/4
Perpendicular slope = -4 (Negative reciprocal)
--------------------------------------------------------------------------------------------------------
Substitute slope into the general equation y = mx + b:
--------------------------------------------------------------------------------------------------------
y = -4x + b
--------------------------------------------------------------------------------------------------------
Find y-intercept:
--------------------------------------------------------------------------------------------------------
at point (-2, -6)
-6 = -4(-2) + b
-6 = 8 + b
b = -6 - 8
b = -14
--------------------------------------------------------------------------------------------------------
Substitute b = -14 into the equation:
--------------------------------------------------------------------------------------------------------
y = -4x + b
y = -4x - 14
--------------------------------------------------------------------------------------------------------
Equation:
--------------------------------------------------------------------------------------------------------
y = -4x - 14
y + 6 = -4x - 8 \\add 6 to both sides
y + 6 = -4(x + 2) \\Take out common factor -4
--------------------------------------------------------------------------------------------------------
Answer: y + 6 = -4(x + 2) (Answer D)
--------------------------------------------------------------------------------------------------------
