   Chapter 10.2, Problem 15E 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

Are these points collinear?a) A - 2 ,   5 , B 0 ,   2 , and C 4 ,   - 4 b) D - 1 ,   - 1 , E 2 ,   - 2 , and F 5 ,   - 5

To determine

(a)

To check:

Whether the points A-2, 5, B0, 2, and C4, -4 are collinear.

Explanation

If the points are collinear, then the slope of the lines making with the points are same.

The slope of the line that contains the points x1,y1 and x2,y2 is given by

m=y2-y1x2-x1 for x2x1

Let mAB- and mBC- are the slopes of the line AB- and BC- respectively.

The given points are A-2, 5 and B0, 2.

Using the slope formula and choosing x1=-2, x2=0, y1=5, and y2=2

To determine

(b)

To check:

Whether the points D-1, -1, E2, -2, and F5, -5 are collinear.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 