   Chapter 10.2, Problem 20E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Perpendicular lines l 1 and l 2 have slopes m 1 and m 2 , respectively. Find m 2 if m 1 equals: a) 5 b) - 5 3 c) - 1 2 d) a - b c

To determine

(a)

To find:

The slope m2 of the line l2, if slope m1 of the line l1 is 5.

Explanation

By theorem,

If two lines are perpendicular, then the product of their slopes is -1 or one slope is negative reciprocal of the other slope.

(i.e) If l1l2, then m1.m2=-1 or m2=-1m1

The given lines l1, and l2 are perpendicular

To determine

(b)

To find:

The slope m2 of the line l2, if slope m1 of the line l1 is -53.

To determine

(c)

To find:

The slope m2 of the line l2, if slope m1 of the line l1 is -12.

To determine

(d)

To find:

The slope m2 of the line l2, if slope m1 of the line l1 is a-bc.

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