   Chapter 10.5, Problem 21E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 9 to 24, find an equation of the line described. Leave the solution in the form Ax+By = C .The line contains (0,-4) and is perpendicular to the line y = 3 4 x - 5 .

To determine

Find the equation of the line contains (0,-4) and is perpendicular to the line y=34x-5.

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=34x-5

Compare y=34x-5 with the general equation. Then,

m1=34

Since the lines are perpendicular,

m2=-1m1

Hence,

m2=-43

From the given point,

x1=0

y1=-4

Substitute x1, y1, and m2 in the general equation to find the equation of the unknown line

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