AnswersPARTA - EOP PGCPS GEOMETRY OC FALL2026 - 793413Slopes of Parallel and Perpendicular LinesQuestion 5
5
AssignmentMultiple Choice

Slopes of Parallel and Perpendicular Lines

Question 5 • PARTA - EOP: PGCPS GEOMETRY OC (FALL2026) - 793413

Are the students correct? Explain.

Answer
A
Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2).
B
Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6.
C
Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6.
D
Neither student is correct; the slope of the parallel line should be 1.

Explanation

A line with slope −1 passing through (4, 2) has equation y − 2 = −1(x − 4). Simplifying gives y = −x + 6, so its y-intercept is 6. Therefore both statements are correct: the line passes through (4, 2) and has a y-intercept of 6.

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