110327
AssignmentMultiple Select

Slopes of Parallel and Perpendicular Lines

Question 110327 • PARTA - EOP: PGCPS GEOMETRY OC (FALL2026) - 793413

Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply.(–2, –5) and (–7, –3)(–1, 1) and (–6, –1)(0, 0) and (2, 5)(1, 0) and (6, 2)(3, 0) and (8, 2)

Answer
A
(–2, –5) and (–7, –3)
B
(–1, 1) and (–6, –1)
C
(0, 0) and (2, 5)
D
(1, 0) and (6, 2)
E
(3, 0) and (8, 2)

Explanation

The line through (3, 4) and (–2, 2) has slope (2 – 4)/(–2 – 3) = 2/5. A parallel line must have the same slope. The pairs in B, D, and E each have slope 2/5; for example, D has slope (2 – 0)/(6 – 1) = 2/5. Pair A has slope –2/5, and pair C has slope 5/2, so neither is parallel.

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