   Chapter 10.5, Problem 12E 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 contains (-2, 5) and (2,-1).

To determine

Find the equation of the line which contains (-2, 5) and (2, -1).

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.

To use Point-Slope form, it is required to find the slope using the equation,

m=y-y1x-x1

From the given points,

Let x1=-2

y1=5

x=2

y=-1

Substitute x1, y1, x and y to find the slope.

So,

m=-1-52-(-2)

m=-62 + 2

m=-64

m=-32

Now the general equation can be written as,

y5=32(x(2))

y-5=-32x+2

Multiply y-5 by 2 and x+2 by

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