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Chapter 1: Q. 10 (page 1)

True or False Perpendicular lines have slopes that are reciprocals of one another.

Short Answer

Expert verified

The statement "Perpendicular lines have slopes that are reciprocals of one another." is false.

Step by step solution

01

Step 1. Given information.

We have the given statement:

Perpendicular lines have slopes that are reciprocals of one another.

02

Step 2. Find whether the statement is true or false. 

Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.

m1脳m2=-1, where m1and m2are the slopes of two lines.

Hence, slopes of perpendicular lines are negative reciprocals.

Therefore, the given statement is false.

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Most popular questions from this chapter

Graph the line containing the point P and having slope m.

P(-2,0),m=undefined

Plot each point. Then plot the point that is symmetric to it with respect to -

(a) the x-axis

(b) the y-axis

(c) the origin

Point (3, 4)

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(2,3);(4,0)

True or false The point 1,2is on the line2x+y=4.

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(3,-4);P2=(5,4)
See all solutions

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