   Chapter 10.5, Problem 9E 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 9 to 24, find an equation of the line described. Leave the solution in the form Ax+By = C .The line has slope m = - 2 3 and contains (0, 5).

To determine

Find the equation of the line which has slope m=-23 and contains the point (0, 5).

Explanation

The general equation of a line in Point-Slope form is y-y1=m(x-x1)

Here,

m is the slope of a line

(x1,y1) is the point.

From the given details,

x1=0

y1=5

m=-23

Substitute x1, y1 and m in the general equation.

Then the general equation can be written as,

y-5=-23x-0

Multiply y-5 by 3 and x-0 by -2

Then,

3(y-5)=-2(x-0)

3(y-5)=3 × y-3 × 5

3

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