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A geometry class is asked to find the equation of a line that is parallel to y – 3 = −(x + 1) and passes through (4, 2). Trish states that the parallel line is y – 2 = –1(x – 4). Demetri states that the parallel line is y = –x + 6.

Are the students correct? Explain.

Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2).
Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6.
Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6.
Neither student is correct; the slope of the parallel line should be 1.

2 Answers

2 votes

Answer: Its c

Explanation:

Both students are correct.

User Johnny Zhao
by
4.4k points
2 votes

Answer:

C

Explanation:

Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6.

User Frank Boucher
by
4.1k points