   Chapter 10.5, Problem 25E 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 25and 26, find the equation of the line in the form y = m x + b .The line contains (g, h) and is perpendicular to the line y = a b x + c .

To determine

Find an equation of the line which contains (g, h) and is perpendicular to the line y=abx+c.

Explanation

Let m1 be the slope of the line y=abx+c

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

Compare y=abx+c with the general equation y=mx+b

m1=ab

Since slope of the unknown line is perpendicular to the line y=abx+c

m2=-1m1

So,

m2=-1ab

m2=-ba

The unknown line equation can be found using its slope m2=-ba and gh using the relationship y-y1=m(x-x1)

Now, x1=g and y1=h

Then, yh=ba(x</

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