Answers Geometry A Writing Linear EquationsQuestion 4

4

AssignmentMultiple Choice

Writing Linear Equations

Question 4 • Geometry A

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 parallel to a line with slope −1 also has slope −1. The line with slope −1 passing through (4, 2) has equation y − 2 = −1(x − 4), which simplifies to y = −x + 6. Its y-intercept is 6, so both students’ statements are correct.

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