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Elementary Geometry for College St...

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

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BuyFindarrow_forward

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 (0, 3) and is parallel to the line 3 x + y = 7 .

To determine

To answer:

Find the equation of the line contains (0, 3) and is parallel to the line 3x+y=7.

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 3x+y=7 can be modified to find its slope.

3x+y=7 can be rewritten as,

y=-3x+7

Compare y=-3x+7 with the general equation. Then,

m1=-3

Since the lines are parallel,

m1=m2

Hence,

m2=-3

From the given point,

x1=0

y1=3

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

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