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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

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

To answer:

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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Chapter 10 Solutions

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