Answers LA-Geometry A Distance Learning Writing Linear EquationsQuestion 18

18

AssignmentMultiple Choice

Writing Linear Equations

Question 18 • LA-Geometry A ? Distance Learning

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 and y-intercept 6 has equation y = −x + 6. Substituting x = 4 gives y = 2, so the line passes through (4, 2) as well. Both students’ descriptions are consistent, so both are correct.

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