Answers Geometry A Writing Linear EquationsQuestion 111145

111145

AssignmentMultiple Choice

Writing Linear Equations

Question 111145 • 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 with slope –1 that passes through (4, 2) has equation y = –x + b. Substituting the point gives 2 = –4 + b, so b = 6. Thus the line has y-intercept 6, and both students’ statements are correct.

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