   Chapter 10.5, Problem 21E 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

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

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 