Slopes of Parallel and Perpendicular Lines

Question 1

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

Revolt · Accepted Answer

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 2

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

Revolt · Accepted Answer

Yes, their slopes are negative reciprocals.

Question 3

Is line m parallel to line n? Explain.

Revolt · Accepted Answer

No, the slopes are not equal.

Question 4

Use the diagram to answer the questions. | Is line m parallel to line n? Explain. | Is line m perpendicular to line k? Explain.

Revolt · Accepted Answer

Yes, the slopes are negative reciprocals.

Question 5

Question 5

Revolt · Accepted Answer

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)

Slopes of Parallel and Perpendicular Lines Answers

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