   Chapter 10.5, Problem 16E 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 (b, c) and has slope d.

To determine

Find the equation of the line which contains (b, c) and slope d.

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 points,

Let x1=b

y1=c

m=d

Substitute x1, y1, and m in the point slope form.

Now the general equation can be written as,

y-c=dx-b

dx-b can be expressed as,

dx-b= d×x-b×d

dx-b = dx-bd

Now, substitute dx-bd for d

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