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