Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 8.3, Problem 33WE
To determine

To Explain: whether the points (5,9),(1,1),(1,4) are collinear or not.

Expert Solution & Answer
Check Mark

Answer to Problem 33WE

The points are not collinear.

Explanation of Solution

Given information:

The points of a plane are given as:

  (5,9),(1,1),(1,4)

Formula used:

To check the collinear points,

  x1x2x1x3=y1y2y1y3=z1z2z1z3

The three or more points are collinear when they are in straight line.

Consider the points,

  (5,9),(1,1),(1,4)

Recall that to check the collinear points,

  x1x2x1x3=y1y2y1y3=z1z2z1z3

Therefore, the points are given by,

  (5,9),(1,1),(1,4)

Make a table of the coordinates in increasing order x -coordinates then change in the x -coordinates and y -coordinates as move one point to the next.

If the ratio of vertical change divide by horizontal change is constant, the points are collinear. Otherwise they are not.

Check the points are collinear or not.

  xy591114

Here, first we check with the help of formula:

  x1x2x1x3=y1y2y1y35+151=919+446=81346=813

The points are not collinear because the lines are not in straight line having same results.

Thus, the points are not collinear.

Chapter 8 Solutions

Algebra: Structure And Method, Book 1

Ch. 8.1 - Prob. 11OECh. 8.1 - Prob. 12OECh. 8.1 - Prob. 13OECh. 8.1 - Prob. 14OECh. 8.1 - Prob. 15OECh. 8.1 - Prob. 16OECh. 8.1 - Prob. 1WECh. 8.1 - Prob. 2WECh. 8.1 - Prob. 3WECh. 8.1 - Prob. 4WECh. 8.1 - Prob. 5WECh. 8.1 - Prob. 6WECh. 8.1 - Prob. 7WECh. 8.1 - Prob. 8WECh. 8.1 - Prob. 9WECh. 8.1 - Prob. 10WECh. 8.1 - Prob. 11WECh. 8.1 - Prob. 12WECh. 8.1 - Prob. 13WECh. 8.1 - Prob. 14WECh. 8.1 - Prob. 15WECh. 8.1 - Prob. 16WECh. 8.1 - Prob. 17WECh. 8.1 - Prob. 18WECh. 8.1 - Prob. 19WECh. 8.1 - Prob. 20WECh. 8.1 - Prob. 21WECh. 8.1 - Prob. 22WECh. 8.1 - Prob. 23WECh. 8.1 - Prob. 24WECh. 8.1 - Prob. 25WECh. 8.1 - Prob. 26WECh. 8.1 - Prob. 27WECh. 8.1 - Prob. 28WECh. 8.1 - Prob. 29WECh. 8.1 - Prob. 30WECh. 8.1 - Prob. 31WECh. 8.1 - Prob. 32WECh. 8.1 - Prob. 33WECh. 8.1 - Prob. 34WECh. 8.1 - Prob. 35WECh. 8.1 - Prob. 36WECh. 8.1 - Prob. 37WECh. 8.1 - Prob. 38WECh. 8.1 - Prob. 39WECh. 8.1 - Prob. 40WECh. 8.1 - Prob. 41WECh. 8.1 - Prob. 42WECh. 8.1 - Prob. 43WECh. 8.1 - Prob. 44WECh. 8.1 - 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Prob. 23OECh. 8.9 - Prob. 24OECh. 8.9 - Prob. 1WECh. 8.9 - Prob. 2WECh. 8.9 - Prob. 3WECh. 8.9 - Prob. 4WECh. 8.9 - Prob. 5WECh. 8.9 - Prob. 6WECh. 8.9 - Prob. 7WECh. 8.9 - Prob. 8WECh. 8.9 - Prob. 9WECh. 8.9 - Prob. 10WECh. 8.9 - Prob. 11WECh. 8.9 - Prob. 12WECh. 8.9 - Prob. 13WECh. 8.9 - Prob. 14WECh. 8.9 - Prob. 15WECh. 8.9 - Prob. 16WECh. 8.9 - Prob. 17WECh. 8.9 - Prob. 18WECh. 8.9 - Prob. 19WECh. 8.9 - Prob. 20WECh. 8.9 - Prob. 21WECh. 8.9 - Prob. 22WECh. 8.9 - Prob. 23WECh. 8.9 - Prob. 24WECh. 8.9 - Prob. 1PCh. 8.9 - Prob. 2PCh. 8.9 - Prob. 3PCh. 8.9 - Prob. 4PCh. 8.9 - Prob. 5PCh. 8.9 - Prob. 6PCh. 8.9 - Prob. 7PCh. 8.9 - Prob. 8PCh. 8.9 - Prob. 9PCh. 8.9 - Prob. 10PCh. 8.9 - Prob. 11PCh. 8.9 - Prob. 12PCh. 8.9 - Prob. 13PCh. 8.9 - Prob. 14PCh. 8.9 - Prob. 15PCh. 8.9 - Prob. 1MRECh. 8.9 - Prob. 2MRECh. 8.9 - Prob. 3MRECh. 8.9 - Prob. 4MRECh. 8.9 - Prob. 5MRECh. 8.9 - Prob. 6MRECh. 8.9 - Prob. 7MRECh. 8.9 - Prob. 8MRECh. 8.9 - Prob. 9MRECh. 8.9 - Prob. 10MRECh. 8.9 - Prob. 11MRECh. 8.9 - Prob. 12MRECh. 8.10 - Prob. 1OECh. 8.10 - Prob. 2OECh. 8.10 - Prob. 3OECh. 8.10 - Prob. 4OECh. 8.10 - Prob. 5OECh. 8.10 - Prob. 6OECh. 8.10 - Prob. 7OECh. 8.10 - Prob. 8OECh. 8.10 - Prob. 9OECh. 8.10 - Prob. 10OECh. 8.10 - Prob. 11OECh. 8.10 - Prob. 12OECh. 8.10 - Prob. 13OECh. 8.10 - Prob. 14OECh. 8.10 - Prob. 15OECh. 8.10 - Prob. 16OECh. 8.10 - Prob. 17OECh. 8.10 - Prob. 18OECh. 8.10 - Prob. 1WECh. 8.10 - Prob. 2WECh. 8.10 - Prob. 3WECh. 8.10 - Prob. 4WECh. 8.10 - Prob. 5WECh. 8.10 - Prob. 6WECh. 8.10 - Prob. 7WECh. 8.10 - Prob. 8WECh. 8.10 - Prob. 9WECh. 8.10 - Prob. 10WECh. 8.10 - Prob. 11WECh. 8.10 - Prob. 12WECh. 8.10 - Prob. 13WECh. 8.10 - Prob. 14WECh. 8.10 - Prob. 15WECh. 8.10 - Prob. 16WECh. 8.10 - Prob. 17WECh. 8.10 - Prob. 18WECh. 8.10 - Prob. 19WECh. 8.10 - Prob. 20WECh. 8.10 - Prob. 1PCh. 8.10 - Prob. 2PCh. 8.10 - Prob. 3PCh. 8.10 - Prob. 4PCh. 8.10 - Prob. 5PCh. 8.10 - Prob. 6PCh. 8.10 - Prob. 7PCh. 8.10 - Prob. 8PCh. 8.10 - Prob. 9PCh. 8.10 - Prob. 10PCh. 8.10 - Prob. 11PCh. 8.10 - Prob. 12PCh. 8.10 - Prob. 13PCh. 8.10 - Prob. 14PCh. 8.10 - Prob. 15PCh. 8.10 - Prob. 16PCh. 8.10 - Prob. 17PCh. 8.10 - Prob. 18PCh. 8.10 - Prob. 1MRECh. 8.10 - Prob. 2MRECh. 8.10 - Prob. 3MRECh. 8.10 - Prob. 4MRECh. 8.10 - Prob. 5MRECh. 8.10 - Prob. 6MRECh. 8.10 - Prob. 7MRECh. 8.10 - Prob. 1CECh. 8.10 - Prob. 2CECh. 8.10 - Prob. 3CECh. 8.10 - Prob. 4CECh. 8.10 - Prob. 1STCh. 8.10 - Prob. 2STCh. 8.10 - Prob. 3STCh. 8.10 - Prob. 4STCh. 8.10 - Prob. 5STCh. 8.10 - Prob. 6STCh. 8.10 - Prob. 1ECh. 8.10 - Prob. 2ECh. 8.10 - Prob. 3ECh. 8.10 - Prob. 4ECh. 8.10 - Prob. 5ECh. 8.10 - Prob. 6ECh. 8.10 - Prob. 7ECh. 8.10 - Prob. 8ECh. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Prob. 8CRCh. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Prob. 14CRCh. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - Prob. 3CTCh. 8 - Prob. 4CTCh. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Prob. 8CTCh. 8 - Prob. 9CTCh. 8 - Prob. 10CTCh. 8 - Prob. 11CTCh. 8 - Prob. 12CTCh. 8 - Prob. 13CTCh. 8 - Prob. 14CTCh. 8 - Prob. 15CTCh. 8 - Prob. 16CTCh. 8 - Prob. 17CTCh. 8 - Prob. 18CTCh. 8 - Prob. 19CTCh. 8 - Prob. 20CTCh. 8 - Prob. 21CTCh. 8 - Prob. 22CTCh. 8 - Prob. 23CTCh. 8 - Prob. 24CTCh. 8 - Prob. 25CTCh. 8 - Prob. 26CTCh. 8 - Prob. 27CTCh. 8 - Prob. 28CTCh. 8 - Prob. 29CTCh. 8 - Prob. 30CTCh. 8 - Prob. 31CTCh. 8 - Prob. 32CTCh. 8 - Prob. 33CTCh. 8 - Prob. 34CTCh. 8 - Prob. 35CTCh. 8 - Prob. 36CTCh. 8 - Prob. 37CTCh. 8 - Prob. 38CTCh. 8 - Prob. 39CTCh. 8 - Prob. 40CTCh. 8 - Prob. 41CTCh. 8 - Prob. 42CTCh. 8 - Prob. 43CTCh. 8 - Prob. 1CLRCh. 8 - Prob. 2CLRCh. 8 - Prob. 3CLRCh. 8 - Prob. 4CLRCh. 8 - Prob. 5CLRCh. 8 - Prob. 6CLRCh. 8 - Prob. 7CLRCh. 8 - Prob. 8CLRCh. 8 - Prob. 9CLRCh. 8 - Prob. 10CLRCh. 8 - Prob. 11CLRCh. 8 - Prob. 12CLRCh. 8 - Prob. 13CLRCh. 8 - Prob. 14CLRCh. 8 - Prob. 15CLRCh. 8 - Prob. 16CLRCh. 8 - Prob. 17CLRCh. 8 - Prob. 18CLRCh. 8 - Prob. 19CLRCh. 8 - Prob. 20CLRCh. 8 - Prob. 21CLRCh. 8 - Prob. 22CLRCh. 8 - Prob. 23CLRCh. 8 - Prob. 24CLRCh. 8 - Prob. 25CLRCh. 8 - Prob. 26CLRCh. 8 - Prob. 27CLRCh. 8 - Prob. 28CLRCh. 8 - Prob. 29CLRCh. 8 - Prob. 30CLRCh. 8 - Prob. 31CLRCh. 8 - Prob. 32CLRCh. 8 - Prob. 33CLRCh. 8 - Prob. 34CLRCh. 8 - Prob. 1MSCh. 8 - Prob. 2MSCh. 8 - Prob. 3MSCh. 8 - Prob. 4MSCh. 8 - Prob. 5MSCh. 8 - Prob. 6MSCh. 8 - Prob. 7MSCh. 8 - Prob. 8MSCh. 8 - Prob. 9MSCh. 8 - Prob. 10MSCh. 8 - Prob. 11MSCh. 8 - Prob. 12MSCh. 8 - Prob. 13MSCh. 8 - Prob. 14MSCh. 8 - Prob. 15MSCh. 8 - Prob. 16MSCh. 8 - Prob. 17MSCh. 8 - Prob. 18MSCh. 8 - Prob. 19MSCh. 8 - Prob. 20MSCh. 8 - Prob. 21MSCh. 8 - Prob. 22MSCh. 8 - Prob. 23MSCh. 8 - Prob. 24MSCh. 8 - Prob. 25MSCh. 8 - Prob. 26MSCh. 8 - Prob. 27MSCh. 8 - Prob. 28MSCh. 8 - Prob. 29MSCh. 8 - Prob. 30MSCh. 8 - Prob. 31MSCh. 8 - Prob. 32MSCh. 8 - Prob. 33MSCh. 8 - Prob. 34MSCh. 8 - Prob. 35MSCh. 8 - Prob. 36MSCh. 8 - Prob. 37MSCh. 8 - Prob. 38MSCh. 8 - Prob. 39MS
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