Slopes of Parallel and Perpendicular Lines

Question 1

Are lines GH and G'H' perpendicular? Why or why not?

Revolt · Accepted Answer

Yes, their slopes are negative reciprocals.

Question 2

Use the graph of the lines to determine if the two lines are parallel.

Revolt · Accepted Answer

✔ 4; Line MN was translated down units and right units to create line M'N'.: 4; Line MN was translated down units and right units to create line M'N'.: 8; The slope of .: −2

Question 3

2X 46✔ 8

Revolt · Accepted Answer

✔ 8

Question 4

✔ −2−1/21/2 2

Revolt · Accepted Answer

✔ −2

Question 5

✔ −2−1/21/2 2

Revolt · Accepted Answer

✔ −2

Question 6

–2–1/2 ✔ 1/22

Revolt · Accepted Answer

✔ 1/2; Consider the graph of the line y = x – 4 and the point (−4, 2). The slope of a line parallel to the given line is.: 1/2; A point on the line parallel to the given line, passing through (−4, 2), is .: (0, 4); The slope of a line perpendicular to the given line is .: –2; A point on the line perpendicular to the given line, passing through (−4, 2), is .: (–2, –2)

Question 7

(–2, –2)(–2, 4)✔ (0, 4)X (2, 0)

Revolt · Accepted Answer

✔ (0, 4)

Question 8

✔ –2–1/2 1/2X 2

Revolt · Accepted Answer

✔ –2

Question 9

✔ (–2, –2)(–2, 4)(2, 0)X (4, 4)

Revolt · Accepted Answer

✔ (–2, –2)

Question 10

Use the diagram to answer the questions.

Revolt · Accepted Answer

Is line m parallel to line n? Explain.: No, the slopes are not equal.; Yes, the slopes are negative reciprocals.

Slopes of Parallel and Perpendicular Lines Answers

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