2
AssignmentMultiple Choice

Writing Linear Equations

Question 2 • 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

Both students are correct. A line through (0, 6), the y-intercept, and (4, 2) has slope (2 − 6)/(4 − 0) = −1. So the line has slope −1, passes through (4, 2), and has a y-intercept of 6.

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