Answers CA-Common Core Geometry DVHS Sem. 1 Writing Linear EquationsQuestion 5

5

AssignmentMultiple Choice

Writing Linear Equations

Question 5 • CA-Common Core Geometry DVHS Sem. 1

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. Using the point (4, 2), write y = −x + b; substituting 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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