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What is the slope of the line passing through the point (4, −2) and perpendicular to the line y = 4x + 2? Write your answer as a fraction.
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-1/2
a line perpendicular to y=4x+2 has the form y=(-1/4)x+b so solve for b using the point -2=(-1/4)4+b -2=-1+b b=-1 so the line is y=(-1/4)x-1 the slope of the line is then -1/4
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