Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

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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 4, Problem 24MCQ
To determine

To write:The equation in the slope intercept form for the line that passes through the given point and is perpendicular to the given equation.

Expert Solution & Answer
Check Mark

Answer to Problem 24MCQ

The equation in the slope intercept form for the line that passes through the given point and is perpendicular to the given equation is y=−54x−10 .

Explanation of Solution

Given:

The equation is −4x+5y=−6 .

The line passes through the point (−4,−5)

Calculation:

Calculate the slope of the first equation. Convert the given equation in the standard slope and intercept form of the equation y=mx+c , the slope of the first equation is:

   −4x+5y=−65y=4x−6y=45x−65The slope of the equation is m=45

Calculate the slope of the second line which is perpendicular to the given line.

  m1m2=−1(45)m2=−1m2=−54

Substituting the value of slope and point in the standard form of slope and point form of the equation.

  y−y1=m(x−x1)y−(−5)=−54(x−(−4))y+5=−54x−5y=−54x−10

Therefore, the equation in the slope intercept form for the line that passes through the point (−4,−5) and is perpendicular to the given equation is y=−54x−10 .

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Chapter 4 Solutions

Algebra 1

Ch. 4.1 - Prob. 1ACYPCh. 4.1 - Prob. 1BCYPCh. 4.1 - Prob. 2ACYPCh. 4.1 - Prob. 2BCYPCh. 4.1 - Prob. 3ACYPCh. 4.1 - Prob. 3BCYPCh. 4.1 - Prob. 4CYPCh. 4.1 - Prob. 1CYUCh. 4.1 - Prob. 2CYUCh. 4.1 - Prob. 3CYU
Ch. 4.1 - Prob. 4CYUCh. 4.1 - Prob. 5CYUCh. 4.1 - Prob. 6CYUCh. 4.1 - Prob. 7CYUCh. 4.1 - Prob. 8CYUCh. 4.1 - Prob. 9CYUCh. 4.1 - Prob. 10CYUCh. 4.1 - Prob. 11CYUCh. 4.1 - Prob. 12CYUCh. 4.1 - Prob. 13CYUCh. 4.1 - Prob. 14CYUCh. 4.1 - Prob. 15CYUCh. 4.1 - Prob. 16CYUCh. 4.1 - Prob. 36PPSCh. 4.1 - Prob. 37PPSCh. 4.1 - Prob. 38PPSCh. 4.1 - Prob. 39PPSCh. 4.1 - Prob. 40PPSCh. 4.1 - Prob. 41PPSCh. 4.1 - Prob. 42PPSCh. 4.1 - Prob. 43PPSCh. 4.1 - Prob. 44PPSCh. 4.1 - Prob. 45PPSCh. 4.1 - Prob. 46PPSCh. 4.1 - Prob. 47PPSCh. 4.1 - Prob. 48PPSCh. 4.1 - Prob. 49PPSCh. 4.1 - Prob. 50PPSCh. 4.1 - Prob. 51PPSCh. 4.1 - Prob. 52PPSCh. 4.1 - Prob. 53PPSCh. 4.1 - Prob. 54PPSCh. 4.1 - Prob. 55PPSCh. 4.1 - Prob. 56PPSCh. 4.1 - Prob. 57PPSCh. 4.1 - Prob. 58PPSCh. 4.1 - Prob. 59PPSCh. 4.1 - Prob. 60PPSCh. 4.1 - Prob. 61PPSCh. 4.1 - Prob. 62HPCh. 4.1 - Prob. 63HPCh. 4.1 - Prob. 64HPCh. 4.1 - Prob. 65HPCh. 4.1 - Prob. 66HPCh. 4.1 - Prob. 67STPCh. 4.1 - Prob. 68STPCh. 4.1 - Prob. 69STPCh. 4.1 - Prob. 70STPCh. 4.1 - Prob. 71SRCh. 4.1 - Prob. 72SRCh. 4.1 - Prob. 73SRCh. 4.1 - Prob. 74SRCh. 4.1 - Prob. 75SRCh. 4.1 - Prob. 76SRCh. 4.1 - Prob. 77SRCh. 4.1 - Prob. 78SRCh. 4.1 - Prob. 79SRCh. 4.1 - Prob. 80SCh. 4.1 - Prob. 83SCh. 4.1 - Prob. 17PPSCh. 4.1 - Prob. 18PPSCh. 4.1 - Prob. 19PPSCh. 4.1 - Prob. 20PPSCh. 4.1 - Prob. 21PPSCh. 4.1 - Prob. 22PPSCh. 4.1 - Prob. 23PPSCh. 4.1 - Prob. 24PPSCh. 4.1 - Prob. 25PPSCh. 4.1 - Prob. 26PPSCh. 4.1 - Prob. 27PPSCh. 4.1 - Prob. 28PPSCh. 4.1 - Prob. 29PPSCh. 4.1 - Prob. 30PPSCh. 4.1 - Prob. 31PPSCh. 4.1 - Prob. 32PPSCh. 4.1 - Prob. 33PPSCh. 4.1 - Prob. 34PPSCh. 4.1 - Prob. 35PPSCh. 4.1 - Prob. 81SCh. 4.1 - Prob. 82SCh. 4.1 - Prob. 5ACYPCh. 4.1 - Prob. 5BCYPCh. 4.1 - Prob. 5CCYPCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 2ACYPCh. 4.2 - Prob. 2BCYPCh. 4.2 - Prob. 3CYPCh. 4.2 - Prob. 4CYPCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - Prob. 20PPSCh. 4.2 - Prob. 24PPSCh. 4.2 - Prob. 43PPSCh. 4.2 - Prob. 44PPSCh. 4.2 - Prob. 45PPSCh. 4.2 - Prob. 46PPSCh. 4.2 - Prob. 47HPCh. 4.2 - Prob. 48HPCh. 4.2 - Prob. 49HPCh. 4.2 - Prob. 50HPCh. 4.2 - Prob. 51HPCh. 4.2 - Prob. 52HPCh. 4.2 - Prob. 53STPCh. 4.2 - Prob. 54STPCh. 4.2 - Prob. 55STPCh. 4.2 - Prob. 56STPCh. 4.2 - Prob. 57SRCh. 4.2 - Prob. 58SRCh. 4.2 - Prob. 59SRCh. 4.2 - Prob. 60SRCh. 4.2 - Prob. 61SRCh. 4.2 - Prob. 62SRCh. 4.2 - Prob. 63SRCh. 4.2 - Prob. 64SRCh. 4.2 - Prob. 65SRCh. 4.2 - Prob. 66SRCh. 4.2 - Prob. 67SRCh. 4.2 - Prob. 68SRCh. 4.2 - Prob. 69SRCh. 4.2 - Prob. 70SRCh. 4.2 - Prob. 71SRCh. 4.2 - Prob. 72SCh. 4.2 - Prob. 73SCh. 4.2 - Prob. 74SCh. 4.2 - Prob. 75SCh. 4.2 - Prob. 76SCh. 4.2 - Prob. 77SCh. 4.2 - Prob. 1ACYPCh. 4.2 - Prob. 1BCYPCh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 10PPSCh. 4.2 - Prob. 11PPSCh. 4.2 - Prob. 12PPSCh. 4.2 - Prob. 13PPSCh. 4.2 - Prob. 14PPSCh. 4.2 - Prob. 15PPSCh. 4.2 - Prob. 21PPSCh. 4.2 - 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Prob. 51HPCh. 4.4 - Prob. 1CYPCh. 4.4 - Prob. 2CYPCh. 4.4 - Prob. 3CYPCh. 4.4 - Prob. 4CYPCh. 4.4 - Prob. 1CYUCh. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 3CYUCh. 4.4 - Prob. 4CYUCh. 4.4 - Prob. 5CYUCh. 4.4 - Prob. 6CYUCh. 4.4 - Prob. 7CYUCh. 4.4 - Prob. 8CYUCh. 4.4 - Prob. 9CYUCh. 4.4 - Prob. 10CYUCh. 4.4 - Prob. 11PPSCh. 4.4 - Prob. 12PPSCh. 4.4 - Prob. 13PPSCh. 4.4 - Prob. 14PPSCh. 4.4 - Prob. 15PPSCh. 4.4 - Prob. 16PPSCh. 4.4 - Prob. 17PPSCh. 4.4 - Prob. 18PPSCh. 4.4 - Prob. 19PPSCh. 4.4 - Prob. 20PPSCh. 4.4 - Prob. 21PPSCh. 4.4 - Prob. 22PPSCh. 4.4 - Prob. 23PPSCh. 4.4 - Prob. 24PPSCh. 4.4 - Prob. 25PPSCh. 4.4 - Prob. 26PPSCh. 4.4 - Prob. 27PPSCh. 4.4 - Prob. 28PPSCh. 4.4 - Prob. 29PPSCh. 4.4 - Prob. 30PPSCh. 4.4 - Prob. 31PPSCh. 4.4 - Prob. 32PPSCh. 4.4 - Prob. 33PPSCh. 4.4 - Prob. 34PPSCh. 4.4 - Prob. 35PPSCh. 4.4 - Prob. 36PPSCh. 4.4 - Prob. 37PPSCh. 4.4 - Prob. 38PPSCh. 4.4 - Prob. 39PPSCh. 4.4 - Prob. 40PPSCh. 4.4 - Prob. 41PPSCh. 4.4 - Prob. 42PPSCh. 4.4 - Prob. 43PPSCh. 4.4 - Prob. 44HPCh. 4.4 - Prob. 45HPCh. 4.4 - Prob. 46HPCh. 4.4 - Prob. 47HPCh. 4.4 - Prob. 48HPCh. 4.4 - Prob. 49STPCh. 4.4 - Prob. 50STPCh. 4.4 - Prob. 51STPCh. 4.4 - Prob. 52STPCh. 4.4 - Prob. 53SRCh. 4.4 - Prob. 54SRCh. 4.4 - Prob. 55SRCh. 4.4 - Prob. 56SRCh. 4.4 - Prob. 57SRCh. 4.4 - Prob. 58SRCh. 4.4 - Prob. 59SRCh. 4.4 - Prob. 60SRCh. 4.4 - Prob. 61SRCh. 4.4 - Prob. 62SRCh. 4.4 - Prob. 63SRCh. 4.4 - Prob. 64SRCh. 4.4 - Prob. 65SRCh. 4.4 - Prob. 66SRCh. 4.4 - Prob. 67SRCh. 4.4 - Prob. 68SRCh. 4.4 - Prob. 69SRCh. 4.4 - Prob. 70SCh. 4.4 - Prob. 71SCh. 4.4 - Prob. 72SCh. 4.4 - Prob. 73SCh. 4.5 - Prob. 1CYPCh. 4.5 - Prob. 2CYPCh. 4.5 - Prob. 3CYPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4PPSCh. 4.5 - Prob. 5PPSCh. 4.5 - Prob. 6PPSCh. 4.5 - Prob. 7PPSCh. 4.5 - Prob. 8PPSCh. 4.5 - Prob. 9PPSCh. 4.5 - Prob. 10PPSCh. 4.5 - Prob. 11PPSCh. 4.5 - Prob. 13HPCh. 4.5 - Prob. 14HPCh. 4.5 - Prob. 15HPCh. 4.5 - Prob. 16HPCh. 4.5 - Prob. 17HPCh. 4.5 - Prob. 18STPCh. 4.5 - Prob. 19STPCh. 4.5 - Prob. 20STPCh. 4.5 - Prob. 21STPCh. 4.5 - Prob. 22SRCh. 4.5 - Prob. 23SRCh. 4.5 - Prob. 24SRCh. 4.5 - Prob. 25SRCh. 4.5 - Prob. 26SRCh. 4.5 - Prob. 27SRCh. 4.5 - Prob. 28SRCh. 4.5 - Prob. 29SRCh. 4.5 - Prob. 30SRCh. 4.5 - Prob. 31SRCh. 4.5 - Prob. 32SRCh. 4.5 - Prob. 33SRCh. 4.5 - Prob. 34SRCh. 4.5 - Prob. 35SRCh. 4.5 - Prob. 36SRCh. 4.5 - Prob. 37SRCh. 4.5 - Prob. 38SRCh. 4.5 - Prob. 39SRCh. 4.5 - Prob. 40SRCh. 4.5 - Prob. 41SRCh. 4.5 - Prob. 42SCh. 4.5 - Prob. 43SCh. 4.5 - Prob. 12PPSCh. 4.6 - Prob. 24STPCh. 4.6 - Prob. 1ACYPCh. 4.6 - Prob. 1BCYPCh. 4.6 - Prob. 2ACYPCh. 4.6 - Prob. 2BCYPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4PPSCh. 4.6 - Prob. 5PPSCh. 4.6 - Prob. 6PPSCh. 4.6 - Prob. 7PPSCh. 4.6 - Prob. 8PPSCh. 4.6 - Prob. 9PPSCh. 4.6 - Prob. 10PPSCh. 4.6 - Prob. 11PPSCh. 4.6 - Prob. 12PPSCh. 4.6 - Prob. 13PPSCh. 4.6 - Prob. 14PPSCh. 4.6 - Prob. 15PPSCh. 4.6 - Prob. 16PPSCh. 4.6 - Prob. 17PPSCh. 4.6 - Prob. 19HPCh. 4.6 - Prob. 20HPCh. 4.6 - Prob. 22HPCh. 4.6 - Prob. 23STPCh. 4.6 - Prob. 25STPCh. 4.6 - Prob. 26STPCh. 4.6 - Prob. 27SRCh. 4.6 - Prob. 28SRCh. 4.6 - Prob. 29SRCh. 4.6 - Prob. 30SRCh. 4.6 - Prob. 31SRCh. 4.6 - Prob. 32SRCh. 4.6 - Prob. 33SRCh. 4.6 - Prob. 34SRCh. 4.6 - Prob. 35SRCh. 4.6 - Prob. 36SRCh. 4.6 - Prob. 37SRCh. 4.6 - Prob. 38SRCh. 4.6 - Prob. 39SCh. 4.6 - Prob. 40SCh. 4.6 - Prob. 41SCh. 4.6 - Prob. 42SCh. 4.6 - Prob. 43SCh. 4.6 - Prob. 44SCh. 4.6 - Prob. 45SCh. 4.6 - Prob. 46SCh. 4.6 - Prob. 3CYPCh. 4.6 - Prob. 21HPCh. 4.7 - Prob. 58HPCh. 4.7 - Prob. 60HPCh. 4.7 - Prob. 64STPCh. 4.7 - Prob. 69SRCh. 4.7 - Prob. 53PPSCh. 4.7 - Prob. 55HPCh. 4.7 - Prob. 56HPCh. 4.7 - Prob. 57HPCh. 4.7 - Prob. 59HPCh. 4.7 - Prob. 62STPCh. 4.7 - Prob. 63STPCh. 4.7 - Prob. 1CYPCh. 4.7 - Prob. 1CYUCh. 4.7 - Prob. 2CYUCh. 4.7 - Prob. 3CYUCh. 4.7 - Prob. 4CYUCh. 4.7 - Prob. 5CYUCh. 4.7 - Prob. 6CYUCh. 4.7 - Prob. 7CYUCh. 4.7 - Prob. 8CYUCh. 4.7 - Prob. 9PPSCh. 4.7 - Prob. 10PPSCh. 4.7 - Prob. 11PPSCh. 4.7 - Prob. 12PPSCh. 4.7 - Prob. 13PPSCh. 4.7 - Prob. 14PPSCh. 4.7 - Prob. 15PPSCh. 4.7 - Prob. 16PPSCh. 4.7 - Prob. 17PPSCh. 4.7 - Prob. 18PPSCh. 4.7 - Prob. 19PPSCh. 4.7 - Prob. 20PPSCh. 4.7 - Prob. 21PPSCh. 4.7 - Prob. 22PPSCh. 4.7 - Prob. 23PPSCh. 4.7 - Prob. 24PPSCh. 4.7 - Prob. 25PPSCh. 4.7 - Prob. 26PPSCh. 4.7 - Prob. 27PPSCh. 4.7 - Prob. 28PPSCh. 4.7 - Prob. 29PPSCh. 4.7 - Prob. 30PPSCh. 4.7 - Prob. 31PPSCh. 4.7 - Prob. 32PPSCh. 4.7 - Prob. 33PPSCh. 4.7 - Prob. 34PPSCh. 4.7 - Prob. 35PPSCh. 4.7 - Prob. 36PPSCh. 4.7 - Prob. 37PPSCh. 4.7 - Prob. 38PPSCh. 4.7 - Prob. 39PPSCh. 4.7 - Prob. 40PPSCh. 4.7 - Prob. 41PPSCh. 4.7 - Prob. 42PPSCh. 4.7 - Prob. 43PPSCh. 4.7 - Prob. 44PPSCh. 4.7 - Prob. 45PPSCh. 4.7 - Prob. 46PPSCh. 4.7 - Prob. 47PPSCh. 4.7 - Prob. 48PPSCh. 4.7 - Prob. 49PPSCh. 4.7 - Prob. 50PPSCh. 4.7 - Prob. 51PPSCh. 4.7 - Prob. 52PPSCh. 4.7 - Prob. 65SRCh. 4.7 - Prob. 66SRCh. 4.7 - Prob. 67SRCh. 4.7 - Prob. 68SRCh. 4.7 - Prob. 70SRCh. 4.7 - Prob. 71SRCh. 4.7 - Prob. 72SRCh. 4.7 - Prob. 73SRCh. 4.7 - Prob. 74SCh. 4.7 - Prob. 75SCh. 4.7 - Prob. 76SCh. 4.7 - Prob. 77SCh. 4.7 - Prob. 78SCh. 4.7 - Prob. 79SCh. 4.7 - Prob. 54PPSCh. 4.7 - Prob. 61STPCh. 4 - Prob. 10PTCh. 4 - Prob. 15PTCh. 4 - Prob. 4STPCh. 4 - Prob. 8STPCh. 4 - Prob. 9STPCh. 4 - Prob. 11STPCh. 4 - Prob. 12STPCh. 4 - Prob. 11SGRCh. 4 - Prob. 12SGRCh. 4 - Prob. 13SGRCh. 4 - Prob. 14SGRCh. 4 - Prob. 15SGRCh. 4 - Prob. 16SGRCh. 4 - Prob. 17SGRCh. 4 - Prob. 18SGRCh. 4 - Prob. 19SGRCh. 4 - Prob. 20SGRCh. 4 - Prob. 21SGRCh. 4 - Prob. 22SGRCh. 4 - Prob. 23SGRCh. 4 - Prob. 24SGRCh. 4 - Prob. 25SGRCh. 4 - Prob. 26SGRCh. 4 - Prob. 27SGRCh. 4 - Prob. 28SGRCh. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Prob. 6PTCh. 4 - Prob. 7PTCh. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 1STPCh. 4 - Prob. 3STPCh. 4 - Prob. 5STPCh. 4 - Prob. 6STPCh. 4 - Prob. 7STPCh. 4 - Prob. 10STPCh. 4 - 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Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 21MCQCh. 4 - Prob. 22MCQCh. 4 - Prob. 23MCQCh. 4 - Prob. 24MCQCh. 4 - Prob. 25MCQCh. 4 - Prob. 1QCCh. 4 - Prob. 2QCCh. 4 - Prob. 3QCCh. 4 - Prob. 4QCCh. 4 - Prob. 5QCCh. 4 - Prob. 6QCCh. 4 - Prob. 7QCCh. 4 - Prob. 8QCCh. 4 - Prob. 9QCCh. 4 - Prob. 10QCCh. 4 - Prob. 11QCCh. 4 - Prob. 12QCCh. 4 - Prob. 13QCCh. 4 - Prob. 14QCCh. 4 - Prob. 15QCCh. 4 - Prob. 16QC

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