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 22MCQ
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 22MCQ

The equation in the slope intercept form for the line that passes through the given point and is perpendicular to the given equationis y=3x−13 .

Explanation of Solution

Given:

The equation is y=−13x−5 .

The line passes through the point (3,−4)

Calculation:

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

  m=−13

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

  m1m2=−1(−13)m2=−1m2=3

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−(−4)=3(x−3)y+4=3x−9y=3x−13

Therefore, the equation in the slope intercept form for the line that passes through the point (3,−4) and is perpendicular to the given equation is y=3x−13 .

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Chapter 4, Problem 21MCQ
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Chapter 4, Problem 23MCQ

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
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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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