Slopes of Parallel and Perpendicular Lines

Question 1

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.

Revolt · Accepted Answer

1/2

Question 2

A point on the line parallel to the given line, passing through (−4, 2), is .

Revolt · Accepted Answer

(0, 4)

Question 3

The slope of a line perpendicular to the given line is .

Revolt · Accepted Answer

–2

Question 4

A point on the line perpendicular to the given line, passing through (−4, 2), is .

Revolt · Accepted Answer

(–2, –2)

Question 5

Is line m parallel to line n? Explain.

Revolt · Accepted Answer

No, the slopes are not equal.

Question 6

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.

Slopes of Parallel and Perpendicular Lines Answers