A line has slope 2. What is the slope of any line perpendicular to it?
A$2$
B$-2$
C$\frac{1}{2}$
D$-\frac{1}{2}$
Answer & Solution
Correct answer: D. $-\frac{1}{2}$
Two lines are perpendicular when the product of their slopes is $-1$. The given slope is 2, so the perpendicular slope $m$ satisfies $2m = -1$, giving $m = -1/2$. Option A is the same slope (parallel). Option B is the opposite, and option C is the reciprocal without the negative sign.
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