Which equation represents a line perpendicular to ?
Answer and explanation
Correct answer: A.
Among the given options, the line with slope is .
- Step 1: Identify the slope of the given line , which has slope .
- Step 2: Two non-vertical lines are perpendicular if and only if their slopes are negative reciprocals: .
Answer
.
Why not the others: The equations , , and have slopes , , and frac{1}{3}, none of which equals the perpendicular slope -frac{1}{3}.
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