   Chapter 10.4, Problem 22E 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 the result in Exercise 20 to find the equation of the line that contains ( 4, 5 ) and is parallel to the graph of 2 x + 3 y = 6

To determine

To find:

The equation of the line that contains (4, 5) and is parallel to the graph of 2x+3y=6.

Explanation

Given equation is,

2x+3y=6

Given point is, (4, 5)

To find the equation of the point (4, 5) parallel to the equation 2x+3y=6 follow as below,

First needed to find the slope of the given equation,

2x+3y=6

Formula for finding the slope:

y=mx+c

Here, m is the slope.

3y=6-2x

Divided by 3 on both sides of the above equation,

y=6-2x3

y=63-2x3

y=2-2x3

Where, m=-23

Since the lines are parallel, -23 is also the slope of the line to be found

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