   Chapter 10.5, Problem 10E 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 = - 3 and contains (0,-2).

To determine

Find the equation of the line which has slope m=-3 and contains the point (0,-2).

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=-2

m=-3

Substitute x1, y1 and m in the general equation.

Now the general equation can be written as,

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

y-(-2) can be rewritten as,

y-(-2)=y+2

Hence,

y+2=-3x-0

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