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A line perpendicular to the segment from the origin to (–2, 9) passes through (–2, 9). Its equation is

A2x – 9y + 85 = 0
B9x + 2y + 85 = 0
C2x + 9y – 85 = 0
D2x – 9y – 85 = 0
Answer & Solution
Correct answer: A. 2x – 9y + 85 = 0
The segment has slope –9/2, so the line has slope 2/9: y – 9 = (2/9)(x + 2) gives 2x – 9y + 85 = 0.
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