   Chapter 10.2, Problem 34E 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 29 to 34, draw the line described.Through - 2 ,   1 and perpendicular to the line that has intercepts a = - 2 and b = 3

To determine

To draw:

The line with the given point -2, 1 and another line that has intercepts a=-2 and b=3 which is perpendicular to it.

Explanation

First we plot the point -2, 1.

The slope of the line can be determined by finding the slope of a another line that has intercepts a=-2 and b=3 which is perpendicular to it.

Thus the corresponding points of the given line are -2, 0 and 0, 3.

Slope m=y2-y1x2-x1

Choosing x1=-2, x2=0, y1=0, and y2=3.

m=3-00--2

m1=32

By theorem,

If two lines are perpendicular, then the product of their slopes is -1 or one slope is negative reciprocal of the other slope.

(i.e) If l1l2, then m1

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