Answers PARTA - EOP PGCPS GEOMETRY OC FALL2026 - 793413 Writing Linear EquationsQuestion 2

2

AssignmentMultiple Choice

Writing Linear Equations

Question 2 • 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 = –x + b. Substituting the point gives 2 = –4 + b, so b = 6. Therefore, the line passes through (4, 2) and has a y-intercept of 6, so both students are correct.

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