Algebra practice question

Answer: A. −2/7

The given graph has slope 7/2 (solve for y: y = (7/2)x − 4). A perpendicular line's slope is the negative reciprocal: −2/7.

Why the other answers are wrong

B. 7/2

7/2 is the slope of the given line itself, not of a perpendicular line.

C. 2/7

2/7 is the reciprocal but keeps the sign; perpendicular slopes multiply to −1.

D. −7/2

−7/2 flips the sign but not the fraction; take the negative reciprocal of 7/2.

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