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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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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Chapter 10.4, Problem 56STP
To determine

Write the equation of the line passing through (1,−1) with a slope of 12 in three different forms and tell when will each of the form is used.

Expert Solution & Answer
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Answer to Problem 56STP

The equation of line in three different forms is y+1=12(x−1) , y=12x−32 and x−2y=3 . Now the point slope form of a line is used when one point and slope of line is given, slope-intercept form is used when slope and (y) intercept are given and standard form is used when there is fractional parts in the equation of a straight line.

Explanation of Solution

Given information: The given line passes through the point (1,−1) and slope 12 .

Calculation: The equation of the straight line passing through (1,−1) and a slope of 12 is written as,

  y−y1=m(x−x1) ....(Point-slope form)y+1=12(x−1) ....((x1,y1)→(1,−1)and m=12)y+1=12(x−1)......(Point-slope form) ....(2)

Re-write (2) in slope-intercept form as,

  y+1=12(x−1) ....(Point-slope form)y=12x−12−1y=12x−32......(Slope-intercept form)

Again re-write (2) in standard form of line,

  y+1=12(x−1) ....(Point-slope form)2(y+1)=(x−1) ....(Multiply by 2both sides)2y+2=x−1or, x−2y=3......(Standard formax+by=c)

Hence the equation of line in three different forms is y+1=12(x−1) , y=12x−32 and x−2y=3 . Now the point slope form of a line is used when one point and slope of line is given, slope-intercept form is used when slope and (y) intercept are given and standard form is used when there is fractional parts in the equation of a straight line.

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Chapter 10 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 10.1 - Prob. 1PCh. 10.1 - Prob. 2PCh. 10.1 - Prob. 3PCh. 10.1 - Prob. 1LCCh. 10.1 - Prob. 2LCCh. 10.1 - Prob. 3LCCh. 10.1 - Prob. 4LCCh. 10.1 - Prob. 5LCCh. 10.1 - Prob. 6PPECh. 10.1 - Prob. 7PPE
Ch. 10.1 - Prob. 8PPECh. 10.1 - Prob. 9PPECh. 10.1 - Prob. 10PPECh. 10.1 - Prob. 11PPECh. 10.1 - Prob. 12PPECh. 10.1 - Prob. 13PPECh. 10.1 - Prob. 14PPECh. 10.1 - Prob. 15PPECh. 10.1 - Prob. 16PPECh. 10.1 - Prob. 17PPECh. 10.1 - Prob. 18PPECh. 10.1 - Prob. 19PPECh. 10.1 - Prob. 20PPECh. 10.1 - Prob. 21PPECh. 10.1 - Prob. 22PPECh. 10.1 - Prob. 23PPECh. 10.1 - Prob. 24PPECh. 10.1 - Prob. 25PPECh. 10.1 - Prob. 26PPECh. 10.1 - Prob. 27PPECh. 10.1 - Prob. 28PPECh. 10.1 - Prob. 29PPECh. 10.1 - Prob. 30PPECh. 10.1 - Prob. 31PPECh. 10.1 - Prob. 32PPECh. 10.1 - Prob. 33PPECh. 10.1 - Prob. 34PPECh. 10.1 - Prob. 35PPECh. 10.1 - Prob. 36PPECh. 10.1 - Prob. 37PPECh. 10.1 - Prob. 38PPECh. 10.1 - Prob. 39PPECh. 10.1 - Prob. 40PPECh. 10.1 - Prob. 41PPECh. 10.1 - Prob. 42PPECh. 10.1 - Prob. 1MPCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 1LCCh. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.2 - Prob. 5LCCh. 10.2 - Prob. 6LCCh. 10.2 - Prob. 7LCCh. 10.2 - Prob. 8LCCh. 10.2 - Prob. 9LCCh. 10.2 - Prob. 10PPECh. 10.2 - Prob. 11PPECh. 10.2 - Prob. 12PPECh. 10.2 - Prob. 13PPECh. 10.2 - Prob. 14PPECh. 10.2 - Prob. 15PPECh. 10.2 - Prob. 16PPECh. 10.2 - Prob. 17PPECh. 10.2 - Prob. 18PPECh. 10.2 - Prob. 19PPECh. 10.2 - Prob. 20PPECh. 10.2 - Prob. 21PPECh. 10.2 - Prob. 22PPECh. 10.2 - Prob. 23PPECh. 10.2 - Prob. 24PPECh. 10.2 - Prob. 25PPECh. 10.2 - Prob. 26PPECh. 10.2 - Prob. 27PPECh. 10.2 - Prob. 28PPECh. 10.2 - Prob. 29PPECh. 10.2 - Prob. 30PPECh. 10.2 - Prob. 31PPECh. 10.2 - Prob. 32PPECh. 10.2 - Prob. 33PPECh. 10.2 - Prob. 34PPECh. 10.2 - Prob. 35PPECh. 10.2 - Prob. 36PPECh. 10.2 - Prob. 37PPECh. 10.2 - Prob. 38PPECh. 10.2 - Prob. 39PPECh. 10.2 - Prob. 40PPECh. 10.2 - Prob. 41PPECh. 10.2 - Prob. 42PPECh. 10.2 - Prob. 43PPECh. 10.2 - Prob. 44PPECh. 10.2 - Prob. 45PPECh. 10.2 - Prob. 46PPECh. 10.2 - Prob. 47PPECh. 10.2 - Prob. 48PPECh. 10.2 - Prob. 49PPECh. 10.2 - Prob. 50PPECh. 10.2 - Prob. 51PPECh. 10.2 - Prob. 52PPECh. 10.2 - Prob. 53PPECh. 10.2 - Prob. 54PPECh. 10.2 - Prob. 55PPECh. 10.2 - Prob. 56PPECh. 10.2 - Prob. 57PPECh. 10.2 - Prob. 58PPECh. 10.2 - Prob. 59PPECh. 10.2 - Prob. 60PPECh. 10.2 - Prob. 61PPECh. 10.2 - Prob. 62PPECh. 10.2 - Prob. 63PPECh. 10.2 - Prob. 64PPECh. 10.2 - Prob. 65PPECh. 10.2 - Prob. 66PPECh. 10.2 - Prob. 67PPECh. 10.2 - Prob. 68PPECh. 10.2 - Prob. 69PPECh. 10.2 - Prob. 70PPECh. 10.2 - Prob. 71PPECh. 10.2 - Prob. 72PPECh. 10.2 - Prob. 73PPECh. 10.2 - Prob. 74PPECh. 10.2 - Prob. 75PPECh. 10.2 - Prob. 76PPECh. 10.2 - Prob. 77PPECh. 10.2 - Prob. 78PPECh. 10.2 - Prob. 1MPCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 1LCCh. 10.3 - Prob. 2LCCh. 10.3 - Prob. 3LCCh. 10.3 - Prob. 4LCCh. 10.3 - Prob. 5LCCh. 10.3 - Prob. 6LCCh. 10.3 - Prob. 7LCCh. 10.3 - Prob. 8LCCh. 10.3 - Prob. 9PPECh. 10.3 - Prob. 10PPECh. 10.3 - Prob. 11PPECh. 10.3 - Prob. 12PPECh. 10.3 - Prob. 13PPECh. 10.3 - Prob. 14PPECh. 10.3 - Prob. 15PPECh. 10.3 - Prob. 16PPECh. 10.3 - Prob. 17PPECh. 10.3 - Prob. 18PPECh. 10.3 - Prob. 19PPECh. 10.3 - Prob. 20PPECh. 10.3 - Prob. 21PPECh. 10.3 - Prob. 22PPECh. 10.3 - Prob. 23PPECh. 10.3 - Prob. 24PPECh. 10.3 - Prob. 25PPECh. 10.3 - Prob. 26PPECh. 10.3 - Prob. 27PPECh. 10.3 - Prob. 28PPECh. 10.3 - Prob. 29PPECh. 10.3 - Prob. 30PPECh. 10.3 - Prob. 31PPECh. 10.3 - Prob. 32PPECh. 10.3 - Prob. 33PPECh. 10.3 - Prob. 34PPECh. 10.3 - Prob. 35PPECh. 10.3 - Prob. 36PPECh. 10.3 - Prob. 37PPECh. 10.3 - Prob. 38PPECh. 10.3 - Prob. 39PPECh. 10.3 - Prob. 40PPECh. 10.3 - Prob. 41PPECh. 10.3 - Prob. 42PPECh. 10.3 - Prob. 43PPECh. 10.3 - Prob. 44PPECh. 10.3 - Prob. 45PPECh. 10.3 - Prob. 46PPECh. 10.3 - Prob. 47PPECh. 10.3 - Prob. 48PPECh. 10.3 - Prob. 49PPECh. 10.3 - Prob. 50PPECh. 10.3 - Prob. 51PPECh. 10.3 - Prob. 52PPECh. 10.3 - Prob. 53PPECh. 10.3 - Prob. 54PPECh. 10.3 - Prob. 55PPECh. 10.3 - Prob. 56PPECh. 10.3 - Prob. 57PPECh. 10.3 - Prob. 58PPECh. 10.3 - Prob. 59PPECh. 10.3 - Prob. 60PPECh. 10.3 - Prob. 61PPECh. 10.3 - Prob. 62PPECh. 10.3 - Prob. 63PPECh. 10.3 - Prob. 64STPCh. 10.3 - Prob. 65STPCh. 10.3 - Prob. 66STPCh. 10.3 - Prob. 67STPCh. 10.3 - Prob. 68MRCh. 10.3 - Prob. 69MRCh. 10.3 - Prob. 70MRCh. 10.3 - Prob. 71MRCh. 10.3 - Prob. 72MRCh. 10.3 - Prob. 73MRCh. 10.3 - Prob. 74MRCh. 10.3 - Prob. 75MRCh. 10.3 - Prob. 76MRCh. 10.3 - Prob. 77MRCh. 10.3 - Prob. 78MRCh. 10.3 - Prob. 79MRCh. 10.3 - Prob. 80MRCh. 10.3 - Prob. 81MRCh. 10.3 - Prob. 1MCQCh. 10.3 - Prob. 2MCQCh. 10.3 - Prob. 3MCQCh. 10.3 - Prob. 4MCQCh. 10.3 - Prob. 5MCQCh. 10.3 - Prob. 6MCQCh. 10.3 - Prob. 7MCQCh. 10.3 - Prob. 8MCQCh. 10.3 - Prob. 9MCQCh. 10.3 - Prob. 10MCQCh. 10.3 - Prob. 11MCQCh. 10.3 - Prob. 12MCQCh. 10.3 - Prob. 13MCQCh. 10.3 - Prob. 14MCQCh. 10.3 - Prob. 15MCQCh. 10.3 - Prob. 16MCQCh. 10.3 - Prob. 17MCQCh. 10.3 - Prob. 18MCQCh. 10.3 - Prob. 19MCQCh. 10.3 - Prob. 20MCQCh. 10.3 - Prob. 21MCQCh. 10.3 - Prob. 22MCQCh. 10.3 - Prob. 23MCQCh. 10.3 - Prob. 24MCQCh. 10.3 - Prob. 25MCQCh. 10.3 - Prob. 26MCQCh. 10.3 - Prob. 27MCQCh. 10.3 - Prob. 28MCQCh. 10.3 - Prob. 29MCQCh. 10.3 - Prob. 30MCQCh. 10.3 - Prob. 31MCQCh. 10.3 - Prob. 32MCQCh. 10.3 - Prob. 33MCQCh. 10.3 - Prob. 34MCQCh. 10.3 - Prob. 35MCQCh. 10.3 - Prob. 36MCQCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 1LCCh. 10.4 - Prob. 2LCCh. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.4 - Prob. 5LCCh. 10.4 - Prob. 6LCCh. 10.4 - Prob. 7PPECh. 10.4 - Prob. 8PPECh. 10.4 - Prob. 9PPECh. 10.4 - Prob. 10PPECh. 10.4 - Prob. 11PPECh. 10.4 - Prob. 12PPECh. 10.4 - Prob. 13PPECh. 10.4 - Prob. 14PPECh. 10.4 - Prob. 15PPECh. 10.4 - Prob. 16PPECh. 10.4 - Prob. 17PPECh. 10.4 - Prob. 18PPECh. 10.4 - Prob. 19PPECh. 10.4 - Prob. 20PPECh. 10.4 - Prob. 21PPECh. 10.4 - Prob. 22PPECh. 10.4 - Prob. 23PPECh. 10.4 - Prob. 24PPECh. 10.4 - Prob. 25PPECh. 10.4 - Prob. 26PPECh. 10.4 - Prob. 27PPECh. 10.4 - Prob. 28PPECh. 10.4 - Prob. 29PPECh. 10.4 - Prob. 30PPECh. 10.4 - Prob. 31PPECh. 10.4 - Prob. 32PPECh. 10.4 - Prob. 33PPECh. 10.4 - Prob. 34PPECh. 10.4 - Prob. 35PPECh. 10.4 - Prob. 36PPECh. 10.4 - Prob. 37PPECh. 10.4 - Prob. 38PPECh. 10.4 - Prob. 39PPECh. 10.4 - Prob. 40PPECh. 10.4 - Prob. 41PPECh. 10.4 - Prob. 42PPECh. 10.4 - Prob. 43PPECh. 10.4 - Prob. 44PPECh. 10.4 - Prob. 45PPECh. 10.4 - Prob. 46PPECh. 10.4 - Prob. 47PPECh. 10.4 - Prob. 48PPECh. 10.4 - Prob. 49PPECh. 10.4 - Prob. 50PPECh. 10.4 - Prob. 51PPECh. 10.4 - Prob. 52PPECh. 10.4 - Prob. 53STPCh. 10.4 - Prob. 54STPCh. 10.4 - Prob. 55STPCh. 10.4 - Prob. 56STPCh. 10.4 - Prob. 57MRCh. 10.4 - Prob. 58MRCh. 10.4 - Prob. 59MRCh. 10.4 - Prob. 60MRCh. 10.4 - Prob. 61MRCh. 10.4 - Prob. 62MRCh. 10.4 - Prob. 63MRCh. 10.4 - Prob. 64MRCh. 10.4 - Prob. 65MRCh. 10.5 - Prob. 1PCh. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 1LCCh. 10.5 - Prob. 2LCCh. 10.5 - Prob. 3LCCh. 10.5 - Prob. 4LCCh. 10.5 - Prob. 5LCCh. 10.5 - Prob. 6LCCh. 10.5 - Prob. 7PPECh. 10.5 - Prob. 8PPECh. 10.5 - Prob. 9PPECh. 10.5 - Prob. 10PPECh. 10.5 - Prob. 11PPECh. 10.5 - Prob. 12PPECh. 10.5 - Prob. 13PPECh. 10.5 - Prob. 14PPECh. 10.5 - Prob. 15PPECh. 10.5 - Prob. 16PPECh. 10.5 - Prob. 17PPECh. 10.5 - Prob. 18PPECh. 10.5 - Prob. 19PPECh. 10.5 - Prob. 20PPECh. 10.5 - Prob. 21PPECh. 10.5 - Prob. 22PPECh. 10.5 - Prob. 23PPECh. 10.5 - Prob. 24PPECh. 10.5 - Prob. 25PPECh. 10.5 - Prob. 26PPECh. 10.5 - Prob. 27PPECh. 10.5 - Prob. 28PPECh. 10.5 - Prob. 29PPECh. 10.5 - Prob. 30PPECh. 10.5 - Prob. 31PPECh. 10.5 - Prob. 32PPECh. 10.5 - Prob. 33PPECh. 10.5 - Prob. 34PPECh. 10.5 - Prob. 35PPECh. 10.5 - Prob. 36PPECh. 10.5 - Prob. 37PPECh. 10.5 - Prob. 38PPECh. 10.5 - Prob. 39PPECh. 10.5 - Prob. 40PPECh. 10.5 - Prob. 41PPECh. 10.5 - Prob. 42PPECh. 10.5 - Prob. 43PPECh. 10.5 - Prob. 44PPECh. 10.5 - Prob. 45PPECh. 10.5 - Prob. 46PPECh. 10.5 - Prob. 47PPECh. 10.5 - Prob. 48PPECh. 10.5 - Prob. 49PPECh. 10.5 - Prob. 50PPECh. 10.5 - Prob. 51PPECh. 10.5 - Prob. 52PPECh. 10.5 - Prob. 53PPECh. 10.5 - Prob. 54PPECh. 10.5 - Prob. 55PPECh. 10.5 - Prob. 56PPECh. 10.5 - Prob. 57PPECh. 10.5 - Prob. 58PPECh. 10.5 - Prob. 59PPECh. 10.5 - Prob. 60PPECh. 10.5 - Prob. 61PPECh. 10.5 - Prob. 62PPECh. 10.5 - Prob. 63PPECh. 10.5 - Prob. 1MPCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 1LCCh. 10.6 - Prob. 2LCCh. 10.6 - Prob. 3LCCh. 10.6 - Prob. 4LCCh. 10.6 - Prob. 5LCCh. 10.6 - Prob. 6LCCh. 10.6 - Prob. 7LCCh. 10.6 - Prob. 8PPECh. 10.6 - Prob. 9PPECh. 10.6 - Prob. 10PPECh. 10.6 - Prob. 11PPECh. 10.6 - Prob. 12PPECh. 10.6 - Prob. 13PPECh. 10.6 - Prob. 14PPECh. 10.6 - Prob. 15PPECh. 10.6 - Prob. 16PPECh. 10.6 - Prob. 17PPECh. 10.6 - Prob. 18PPECh. 10.6 - Prob. 19PPECh. 10.6 - Prob. 20PPECh. 10.6 - Prob. 21PPECh. 10.6 - Prob. 22PPECh. 10.6 - Prob. 23PPECh. 10.6 - Prob. 24PPECh. 10.6 - Prob. 25PPECh. 10.6 - Prob. 26PPECh. 10.6 - Prob. 27PPECh. 10.6 - Prob. 28PPECh. 10.6 - Prob. 29PPECh. 10.6 - Prob. 30PPECh. 10.6 - Prob. 31PPECh. 10.6 - Prob. 32PPECh. 10.6 - Prob. 33PPECh. 10.6 - Prob. 34PPECh. 10.6 - Prob. 35PPECh. 10.6 - Prob. 36PPECh. 10.6 - Prob. 37PPECh. 10.6 - Prob. 38PPECh. 10.6 - Prob. 39PPECh. 10.6 - Prob. 40PPECh. 10.6 - Prob. 41PPECh. 10.6 - Prob. 42PPECh. 10.6 - Prob. 43PPECh. 10.6 - Prob. 44PPECh. 10.6 - Prob. 45PPECh. 10.6 - Prob. 46PPECh. 10.6 - Prob. 47PPECh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49STPCh. 10.6 - Prob. 50STPCh. 10.6 - Prob. 51STPCh. 10.6 - Prob. 52MRCh. 10.6 - Prob. 53MRCh. 10.6 - Prob. 54MRCh. 10.6 - Prob. 55MRCh. 10.6 - Prob. 56MRCh. 10.6 - Prob. 57MRCh. 10.6 - Prob. 58MRCh. 10.6 - Prob. 59MRCh. 10.6 - Prob. 60MRCh. 10.6 - Prob. 61MRCh. 10 - Prob. 1GRCh. 10 - Prob. 2GRCh. 10 - Prob. 3GRCh. 10 - Prob. 4GRCh. 10 - Prob. 5GRCh. 10 - Prob. 6GRCh. 10 - Prob. 7GRCh. 10 - Prob. 8GRCh. 10 - Prob. 9GRCh. 10 - Prob. 10GRCh. 10 - Prob. 11GRCh. 10 - Prob. 12GRCh. 10 - Prob. 13GRCh. 10 - Prob. 14GRCh. 10 - Prob. 15GRCh. 10 - Prob. 16GRCh. 10 - Prob. 17GRCh. 10 - Prob. 18GRCh. 10 - Prob. 19GRCh. 10 - Prob. 20GRCh. 10 - Prob. 21GRCh. 10 - Prob. 22GRCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - 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Prob. 56CRCh. 10 - Prob. 57CRCh. 10 - Prob. 58CRCh. 10 - Prob. 59CRCh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 13CTCh. 10 - Prob. 14CTCh. 10 - Prob. 15CTCh. 10 - Prob. 16CTCh. 10 - Prob. 17CTCh. 10 - Prob. 18CTCh. 10 - Prob. 19CTCh. 10 - Prob. 20CTCh. 10 - Prob. 21CTCh. 10 - Prob. 22CTCh. 10 - Prob. 23CTCh. 10 - Prob. 24CTCh. 10 - Prob. 25CTCh. 10 - Prob. 26CTCh. 10 - Prob. 27CTCh. 10 - Prob. 28CTCh. 10 - Prob. 29CTCh. 10 - Prob. 30CTCh. 10 - Prob. 31CTCh. 10 - Prob. 32CTCh. 10 - Prob. 1CCSRCh. 10 - Prob. 2CCSRCh. 10 - Prob. 3CCSRCh. 10 - Prob. 4CCSRCh. 10 - Prob. 5CCSRCh. 10 - Prob. 6CCSRCh. 10 - Prob. 7CCSRCh. 10 - Prob. 8CCSRCh. 10 - Prob. 9CCSRCh. 10 - Prob. 10CCSRCh. 10 - Prob. 11CCSRCh. 10 - Prob. 12CCSRCh. 10 - Prob. 13CCSRCh. 10 - Prob. 14CCSRCh. 10 - Prob. 15CCSRCh. 10 - Prob. 16CCSRCh. 10 - Prob. 17CCSRCh. 10 - Prob. 18CCSRCh. 10 - Prob. 19CCSRCh. 10 - Prob. 20CCSRCh. 10 - Prob. 21CCSRCh. 10 - Prob. 22CCSRCh. 10 - Prob. 23CCSRCh. 10 - Prob. 24CCSRCh. 10 - Prob. 25CCSRCh. 10 - Prob. 26CCSRCh. 10 - Prob. 27CCSRCh. 10 - Prob. 28CCSR

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