   Chapter 10.CR, Problem 17CR 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

Write an equation fora) the line through 2 ,   3 and - 3 ,   6 .b) the line through - 2 ,   - 1 and parallel to the line through 6 ,   - 3 and 8 ,   - 9 .c) the line through 3 ,   - 2 and perpendicular to the line x + 2 y = 4 .d) the line through - 3 ,   5 and parallel to the x -axis.

To determine

(a)

To write:

An equation for the line through 2, 3 and -3, 6.

Explanation

The given points are 2, 3 and -3, 6.

x1, y1=2, 3

x2, y2=-3, 6

First we have to find the slope.

m=y2-y1x2-x1

m=6-3-3-2

On simplifying,

m=3-5

Hence, m=-35

The general form of equation of the line is y=mx+b where

m is the slope.

b is the y-intercept.

Now substitute the value of m in the equation of the line.

y=-35x+b

Now we have to find the value of b.

Now substitute the value of x and y, and find out the value of b

To determine

(b)

To write:

An equation for the line through -2, -1 and parallel to the line through 6, -3 and 8, -9.

To determine

(c)

To write:

An equation for the line through 3, -2 and perpendicular to the line x+2y=4.

To determine

(d)

To write:

An equation for the line through -3, 5 and parallel to the x-axis.

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