   Chapter 10.5, Problem 13E 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 (0, -1) and (3, 1).

To determine

Find the equation of the line which contains (0, -1) and (3, 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=0

y1=-1

x=3

y=1

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

So,

m=1-(-1)3-0

m=1 + 13

m=23

Now the general equation can be written as,

y-(-1)=23x-0

y+1=23x-0

Multiply y+1 by 3 and x-0 by 2

Then,

3(y

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