   Chapter 10.2, Problem 33E 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 parallel to the line 2 x - y = 6

To determine

To draw:

The line with the given point -2, 1 and another line 2x-y=6 which is parallel 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 2x-y=6 which is parallel to it.

For finding the slope, we need to find the points in it.

Substitute x=0 in the given equation 2x-y=6.

20-y=6

y=-6

Thus the first point is 0, -6.

Substitute y=0 in the given equation 2x-y=6.

2x-0=6

2x=6

Divide both sides by 2,

2x2=62

x=3

Thus the second point is 3, 0.

Thus the slope of the line 2x-y=6 containing the points 0, -6 and 3, 0 is

m=y2-y1x2-x1

Choosing x1=0, x2=3, y1=-6, and y2=0

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