High School Math 2011 Algebra 1 Student Companion Grade 8/9
High School Math 2011 Algebra 1 Student Companion Grade 8/9
11th Edition
ISBN: 9780133688924
Author: Prentice Hall
Publisher: PEARSON
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Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Question
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Chapter 5.6, Problem 1LC
To determine

Tofind:which of the following graph is parallel to one another and also the graph is perpendicular to one another

  y=−16xy=6xy=6x−2

Expert Solution & Answer
Check Mark

Answer to Problem 1LC

The equation y=6x and y=6x−2 are parallel to each other.

The equation y=−16x is perpendicular to other two equation i.e. y=6x and y=6x−2 .

Explanation of Solution

Given info:

Show the equation of the graph as follows:

  y=−16xy=6xy=6x−2

Formula used:

Show the slope- intercepts equation or straight line equation as follows:

  y=mx+b

Here, x,y are the coordinates in the graph, m is the slope of the straight line, and b is the constant (number)

If two straight lines have the same slope value, then it is said to be a parallel line.

If two straight lines don’t have the same slope value and the slope value is a negative sign of the reciprocal of another equation, then it is said to be a perpendicular line.

Calculation:

Find the given equation in which one is parallel to another and which one is perpendicular to another equation.

Slope value is taken as coefficient of x

Find the slope for equation y=−16x

  y=mx+by=−16xm1=−16

Find the slope for equation y=6x

  y=mx+by=6xm2=6

Find the slope for equation y=6x−2

  y=mx+by=6x−2m3=6

The y=6x and y=6x−2 equation has same value of slope m2=m3=6

Hence, the equation y=6x and equation y=6x−2 are parallel to each other.

The slope of the equation y=−16x is a negative sign of reciprocal of the slope of the other two equation.

Hence, the equation y=−16x is perpendicular to other two equation i.e. y=6x and y=6x−2

Conclusion:

Thus, the equation y=6x and equation y=6x−2 are parallel to each other.

Thus, the equation y=−16x is perpendicular to other two equation i.e. y=6x and y=6x−2.

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Chapter 5.6, Problem 4P
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Chapter 5.6, Problem 2LC

Chapter 5 Solutions

High School Math 2011 Algebra 1 Student Companion Grade 8/9

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LC
Ch. 5.1 - Prob. 7LCCh. 5.1 - Prob. 8PPECh. 5.1 - Prob. 9PPECh. 5.1 - Prob. 10PPECh. 5.1 - Prob. 11PPECh. 5.1 - Prob. 12PPECh. 5.1 - Prob. 13PPECh. 5.1 - Prob. 14PPECh. 5.1 - Prob. 15PPECh. 5.1 - Prob. 16PPECh. 5.1 - Prob. 17PPECh. 5.1 - Prob. 18PPECh. 5.1 - Prob. 19PPECh. 5.1 - Prob. 20PPECh. 5.1 - Prob. 21PPECh. 5.1 - Prob. 22PPECh. 5.1 - Prob. 23PPECh. 5.1 - Prob. 24PPECh. 5.1 - Prob. 25PPECh. 5.1 - Prob. 26PPECh. 5.1 - Prob. 27PPECh. 5.1 - Prob. 28PPECh. 5.1 - Prob. 29PPECh. 5.1 - Prob. 30PPECh. 5.1 - Prob. 31PPECh. 5.1 - Prob. 32PPECh. 5.1 - Prob. 33PPECh. 5.1 - Prob. 34PPECh. 5.1 - Prob. 35PPECh. 5.1 - Prob. 36PPECh. 5.1 - Prob. 37PPECh. 5.1 - Prob. 38PPECh. 5.1 - Prob. 39PPECh. 5.1 - Prob. 40PPECh. 5.1 - Prob. 41PPECh. 5.1 - Prob. 42PPECh. 5.1 - Prob. 43PPECh. 5.1 - Prob. 44PPECh. 5.1 - Prob. 45PPECh. 5.1 - Prob. 46PPECh. 5.1 - Prob. 47PPECh. 5.1 - Prob. 48PPECh. 5.1 - Prob. 49PPECh. 5.1 - Prob. 50PPECh. 5.1 - Prob. 51PPECh. 5.1 - Prob. 52PPECh. 5.1 - Prob. 53PPECh. 5.1 - Prob. 54PPECh. 5.1 - Prob. 55PPECh. 5.1 - Prob. 56PPECh. 5.1 - Prob. 57PPECh. 5.1 - Prob. 58PPECh. 5.1 - Prob. 1MPCh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 1LCCh. 5.2 - Prob. 2LCCh. 5.2 - Prob. 3LCCh. 5.2 - Prob. 4LCCh. 5.2 - Prob. 5LCCh. 5.2 - Prob. 6LCCh. 5.2 - Prob. 7LCCh. 5.2 - Prob. 8LCCh. 5.2 - Prob. 9PPECh. 5.2 - Prob. 10PPECh. 5.2 - Prob. 11PPECh. 5.2 - Prob. 12PPECh. 5.2 - Prob. 13PPECh. 5.2 - Prob. 14PPECh. 5.2 - Prob. 15PPECh. 5.2 - Prob. 16PPECh. 5.2 - Prob. 17PPECh. 5.2 - Prob. 18PPECh. 5.2 - Prob. 19PPECh. 5.2 - Prob. 20PPECh. 5.2 - Prob. 21PPECh. 5.2 - Prob. 22PPECh. 5.2 - Prob. 23PPECh. 5.2 - Prob. 24PPECh. 5.2 - Prob. 25PPECh. 5.2 - Prob. 26PPECh. 5.2 - Prob. 27PPECh. 5.2 - Prob. 28PPECh. 5.2 - Prob. 29PPECh. 5.2 - Prob. 30PPECh. 5.2 - Prob. 31PPECh. 5.2 - Prob. 32PPECh. 5.2 - Prob. 33PPECh. 5.2 - Prob. 34PPECh. 5.2 - Prob. 35PPECh. 5.2 - Prob. 36PPECh. 5.2 - Prob. 37PPECh. 5.2 - Prob. 38PPECh. 5.2 - Prob. 39PPECh. 5.2 - Prob. 40PPECh. 5.2 - Prob. 41PPECh. 5.2 - Prob. 42PPECh. 5.2 - Prob. 43PPECh. 5.2 - Prob. 44PPECh. 5.2 - Prob. 45PPECh. 5.2 - Prob. 46PPECh. 5.2 - Prob. 47PPECh. 5.2 - Prob. 48STPCh. 5.2 - Prob. 49STPCh. 5.2 - Prob. 50STPCh. 5.2 - Prob. 51STPCh. 5.2 - Prob. 52MRCh. 5.2 - Prob. 53MRCh. 5.2 - Prob. 54MRCh. 5.2 - Prob. 55MRCh. 5.2 - Prob. 56MRCh. 5.2 - Prob. 57MRCh. 5.2 - Prob. 58MRCh. 5.2 - Prob. 59MRCh. 5.3 - Prob. 1CBCh. 5.3 - Prob. 2CBCh. 5.3 - Prob. 3CBCh. 5.3 - Prob. 4CBCh. 5.3 - Prob. 5CBCh. 5.3 - Prob. 6CBCh. 5.3 - Prob. 7CBCh. 5.3 - Prob. 1PCh. 5.3 - Prob. 2PCh. 5.3 - Prob. 3PCh. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 1LCCh. 5.3 - Prob. 2LCCh. 5.3 - Prob. 3LCCh. 5.3 - Prob. 4LCCh. 5.3 - Prob. 5LCCh. 5.3 - Prob. 6LCCh. 5.3 - Prob. 7PPECh. 5.3 - Prob. 8PPECh. 5.3 - Prob. 9PPECh. 5.3 - Prob. 10PPECh. 5.3 - Prob. 11PPECh. 5.3 - Prob. 12PPECh. 5.3 - Prob. 13PPECh. 5.3 - Prob. 14PPECh. 5.3 - Prob. 15PPECh. 5.3 - Prob. 16PPECh. 5.3 - Prob. 17PPECh. 5.3 - Prob. 18PPECh. 5.3 - Prob. 19PPECh. 5.3 - Prob. 20PPECh. 5.3 - 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Prob. 5MCQCh. 5.4 - Prob. 6MCQCh. 5.4 - Prob. 7MCQCh. 5.4 - Prob. 8MCQCh. 5.4 - Prob. 9MCQCh. 5.4 - Prob. 10MCQCh. 5.4 - Prob. 11MCQCh. 5.4 - Prob. 12MCQCh. 5.4 - Prob. 13MCQCh. 5.4 - Prob. 14MCQCh. 5.4 - Prob. 15MCQCh. 5.4 - Prob. 16MCQCh. 5.4 - Prob. 17MCQCh. 5.4 - Prob. 18MCQCh. 5.4 - Prob. 19MCQCh. 5.4 - Prob. 20MCQCh. 5.4 - Prob. 21MCQCh. 5.4 - Prob. 22MCQCh. 5.4 - Prob. 23MCQCh. 5.4 - Prob. 24MCQCh. 5.4 - Prob. 25MCQCh. 5.4 - Prob. 26MCQCh. 5.5 - Prob. 1PCh. 5.5 - Prob. 2PCh. 5.5 - Prob. 3PCh. 5.5 - Prob. 4PCh. 5.5 - Prob. 5PCh. 5.5 - Prob. 1LCCh. 5.5 - Prob. 2LCCh. 5.5 - Prob. 3LCCh. 5.5 - Prob. 4LCCh. 5.5 - Prob. 5LCCh. 5.5 - Prob. 6LCCh. 5.5 - Prob. 7LCCh. 5.5 - Prob. 8PPECh. 5.5 - Prob. 9PPECh. 5.5 - Prob. 10PPECh. 5.5 - Prob. 11PPECh. 5.5 - Prob. 12PPECh. 5.5 - Prob. 13PPECh. 5.5 - Prob. 14PPECh. 5.5 - Prob. 15PPECh. 5.5 - Prob. 16PPECh. 5.5 - Prob. 17PPECh. 5.5 - Prob. 18PPECh. 5.5 - Prob. 19PPECh. 5.5 - Prob. 20PPECh. 5.5 - Prob. 21PPECh. 5.5 - Prob. 22PPECh. 5.5 - Prob. 23PPECh. 5.5 - Prob. 24PPECh. 5.5 - Prob. 25PPECh. 5.5 - Prob. 26PPECh. 5.5 - Prob. 27PPECh. 5.5 - Prob. 28PPECh. 5.5 - Prob. 29PPECh. 5.5 - Prob. 30PPECh. 5.5 - Prob. 31PPECh. 5.5 - Prob. 32PPECh. 5.5 - Prob. 33PPECh. 5.5 - Prob. 34PPECh. 5.5 - Prob. 35PPECh. 5.5 - Prob. 36PPECh. 5.5 - Prob. 37PPECh. 5.5 - Prob. 38PPECh. 5.5 - Prob. 39PPECh. 5.5 - Prob. 40PPECh. 5.5 - Prob. 41PPECh. 5.5 - Prob. 42PPECh. 5.5 - Prob. 43PPECh. 5.5 - Prob. 44PPECh. 5.5 - Prob. 45PPECh. 5.5 - Prob. 46PPECh. 5.5 - Prob. 47PPECh. 5.5 - Prob. 48PPECh. 5.5 - Prob. 49PPECh. 5.5 - Prob. 50PPECh. 5.5 - Prob. 51PPECh. 5.5 - Prob. 52PPECh. 5.5 - Prob. 53PPECh. 5.5 - Prob. 54PPECh. 5.5 - Prob. 55PPECh. 5.5 - Prob. 56PPECh. 5.5 - Prob. 57PPECh. 5.5 - Prob. 58PPECh. 5.5 - Prob. 59PPECh. 5.5 - Prob. 60PPECh. 5.5 - Prob. 61PPECh. 5.5 - Prob. 62PPECh. 5.5 - Prob. 63PPECh. 5.5 - Prob. 64STPCh. 5.5 - Prob. 65STPCh. 5.5 - Prob. 66STPCh. 5.5 - Prob. 67STPCh. 5.5 - Prob. 68STPCh. 5.5 - Prob. 69MRCh. 5.5 - Prob. 70MRCh. 5.5 - Prob. 71MRCh. 5.5 - Prob. 72MRCh. 5.5 - Prob. 73MRCh. 5.5 - Prob. 74MRCh. 5.5 - Prob. 75MRCh. 5.5 - Prob. 76MRCh. 5.5 - Prob. 77MRCh. 5.5 - Prob. 1CBCh. 5.5 - Prob. 2CBCh. 5.5 - Prob. 3CBCh. 5.5 - Prob. 4CBCh. 5.5 - Prob. 5CBCh. 5.5 - Prob. 6CBCh. 5.5 - Prob. 7CBCh. 5.5 - Prob. 8CBCh. 5.5 - Prob. 9CBCh. 5.5 - Prob. 10CBCh. 5.5 - Prob. 11CBCh. 5.5 - Prob. 12CBCh. 5.5 - Prob. 13CBCh. 5.5 - Prob. 14CBCh. 5.5 - Prob. 15CBCh. 5.5 - Prob. 16CBCh. 5.5 - Prob. 17CBCh. 5.5 - Prob. 18CBCh. 5.5 - Prob. 19CBCh. 5.6 - Prob. 1PCh. 5.6 - Prob. 2PCh. 5.6 - Prob. 3PCh. 5.6 - Prob. 4PCh. 5.6 - Prob. 1LCCh. 5.6 - Prob. 2LCCh. 5.6 - Prob. 3LCCh. 5.6 - Prob. 4LCCh. 5.6 - Prob. 5LCCh. 5.6 - Prob. 6LCCh. 5.6 - Prob. 7PPECh. 5.6 - Prob. 8PPECh. 5.6 - Prob. 9PPECh. 5.6 - Prob. 10PPECh. 5.6 - Prob. 11PPECh. 5.6 - Prob. 12PPECh. 5.6 - Prob. 13PPECh. 5.6 - Prob. 14PPECh. 5.6 - Prob. 15PPECh. 5.6 - Prob. 16PPECh. 5.6 - Prob. 17PPECh. 5.6 - Prob. 18PPECh. 5.6 - Prob. 19PPECh. 5.6 - Prob. 20PPECh. 5.6 - Prob. 21PPECh. 5.6 - Prob. 22PPECh. 5.6 - Prob. 23PPECh. 5.6 - Prob. 24PPECh. 5.6 - Prob. 25PPECh. 5.6 - Prob. 26PPECh. 5.6 - Prob. 27PPECh. 5.6 - Prob. 28PPECh. 5.6 - Prob. 29PPECh. 5.6 - Prob. 30PPECh. 5.6 - Prob. 31PPECh. 5.6 - Prob. 32PPECh. 5.6 - Prob. 33PPECh. 5.6 - Prob. 34PPECh. 5.6 - Prob. 35PPECh. 5.6 - Prob. 36PPECh. 5.6 - Prob. 37PPECh. 5.6 - Prob. 38STPCh. 5.6 - Prob. 39STPCh. 5.6 - Prob. 40STPCh. 5.6 - Prob. 41MRCh. 5.6 - Prob. 42MRCh. 5.6 - Prob. 43MRCh. 5.6 - Prob. 44MRCh. 5.6 - Prob. 45MRCh. 5.6 - Prob. 46MRCh. 5.6 - Prob. 47MRCh. 5.7 - Prob. 1PCh. 5.7 - Prob. 2PCh. 5.7 - Prob. 3PCh. 5.7 - Prob. 4PCh. 5.7 - Prob. 1LCCh. 5.7 - Prob. 2LCCh. 5.7 - Prob. 3LCCh. 5.7 - Prob. 4LCCh. 5.7 - Prob. 5LCCh. 5.7 - Prob. 6LCCh. 5.7 - Prob. 7PPECh. 5.7 - Prob. 8PPECh. 5.7 - Prob. 9PPECh. 5.7 - Prob. 10PPECh. 5.7 - Prob. 11PPECh. 5.7 - Prob. 12PPECh. 5.7 - Prob. 13PPECh. 5.7 - Prob. 14PPECh. 5.7 - Prob. 15PPECh. 5.7 - Prob. 16PPECh. 5.7 - Prob. 17PPECh. 5.7 - Prob. 18PPECh. 5.7 - Prob. 19PPECh. 5.7 - Prob. 20PPECh. 5.7 - Prob. 21PPECh. 5.7 - Prob. 22PPECh. 5.7 - Prob. 23STPCh. 5.7 - Prob. 24STPCh. 5.7 - Prob. 25STPCh. 5.7 - Prob. 26STPCh. 5.7 - Prob. 27MRCh. 5.7 - Prob. 28MRCh. 5.7 - Prob. 29MRCh. 5.7 - Prob. 30MRCh. 5.7 - Prob. 31MRCh. 5.7 - Prob. 32MRCh. 5.7 - Prob. 33MRCh. 5.7 - Prob. 5CBCh. 5.7 - Prob. 6CBCh. 5.8 - Prob. 1PCh. 5.8 - Prob. 2PCh. 5.8 - Prob. 3PCh. 5.8 - Prob. 4PCh. 5.8 - Prob. 1LCCh. 5.8 - Prob. 2LCCh. 5.8 - Prob. 3LCCh. 5.8 - Prob. 4LCCh. 5.8 - Prob. 5LCCh. 5.8 - Prob. 6PPECh. 5.8 - Prob. 7PPECh. 5.8 - Prob. 8PPECh. 5.8 - Prob. 9PPECh. 5.8 - Prob. 10PPECh. 5.8 - Prob. 11PPECh. 5.8 - Prob. 12PPECh. 5.8 - Prob. 13PPECh. 5.8 - Prob. 14PPECh. 5.8 - Prob. 15PPECh. 5.8 - Prob. 16PPECh. 5.8 - Prob. 17PPECh. 5.8 - Prob. 18PPECh. 5.8 - Prob. 19PPECh. 5.8 - Prob. 20PPECh. 5.8 - Prob. 21PPECh. 5.8 - Prob. 22PPECh. 5.8 - Prob. 23PPECh. 5.8 - Prob. 24PPECh. 5.8 - Prob. 25PPECh. 5.8 - Prob. 26PPECh. 5.8 - Prob. 27PPECh. 5.8 - Prob. 28PPECh. 5.8 - Prob. 29PPECh. 5.8 - Prob. 30PPECh. 5.8 - Prob. 31PPECh. 5.8 - Prob. 32PPECh. 5.8 - 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Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY