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Elementary Geometry for College St...

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

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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 (-1, 5) and is parallel to the line 5 x + 2 y = 10 .

To determine

To answer:

Find the equation of the line contains (-1, 5) and is parallel to the line 5x+2y=10.

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 5x+2y=10 can be modified to find its slope.

5x+2y=10 can be rewritten as,

2y=-5x+10

Then,

y=-5x+102

y=-5x2+102

y=-5x2+5

y=-52x+5

Compare y=-52x+5 with the general equation.

m1=-52

Since the lines are parallel,

m1=m2

Hence,

m2=-52

From the given points,

x1=-1

y1=5

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

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