   Chapter 10.CT, Problem 17CT 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

Use y - y 1 = m x - x 1 to find the equation of the line that contains a ,   b and is perpendicular to the line y = - 1 c x + d . Leave the answer (equation) in the form y = m x + b .

To determine

Find the equation of the line contains (a, b) and is perpendicular to the line y=-1cx+d.

Explanation

The general equation of a line is y=mx+b

Let m1 be the slope of the given parallel line

Let m2 be the slope of the line for which the equation to be found.

The given line equation y=-1cx+d

Compare y=-1cx+d with the general equation. Then,

m1=-1c

Since the lines are perpendicular,

m2=-1m1

Hence,

m2

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