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

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 4, Problem 11PT
To determine

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

Expert Solution & Answer
Check Mark

Answer to Problem 11PT

The equation in the slope intercept form for the line that passes through the given point and is parallel to the given equation is y=4x−11 .

Explanation of Solution

Given:

The equation is y=4x−9 .

The line passes through the point (2,−3)

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=4

Calculate the slope of the second line which is parallel to the given line. The slope of two parallel lines is always equal.

  m1=m2m2=4

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−(−3)=4(x−2)y+3=4x−8y=4x−11

Therefore, the equation in the slope intercept form for the line that passes through the point (2,−3) and is parallel to the given equation is y=4x−11 .

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Chapter 4, Problem 12PT

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 - 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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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