High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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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 2LC

Chapter 5 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition 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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Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY