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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Describe the steps of the procedure that enables us to find the distance from a point P a ,   b to the line A x + B y = C .

Chapter 10.5, Problem 47E, Describe the steps of the procedure that enables us to find the distance from a point Pa,b to the

To determine

To answer:

Write the steps of the procedure that enables us to find the distance from a point Pa, b to the line Ax+By=C.

Elementary Geometry for College Students, Chapter 10.5, Problem 47E

Explanation

The steps which enables us to find the diatance from a point to the line is as follows:

Initially find the equation for a line which passes through the point Pa, b and is perpendicular to the line Ax+By=C.

Then solve these two equations in order to find the point of intersection of the lines.

This point of intersection is the another point on the line which passes through the point Pa, b.

Thus the two points are known, we can able to find the distance between the points by using the distance formula

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