SlideShare a Scribd company logo
1 of 2
October 4, 2012

          Linear graphs I



2. Harder straight line equations




                                        Next
Explanation                       October 4, 2012
Some straight line equations take the form
       A multiple of x + a multiple of y = a number
For example      4x + 3y = 12                 y
                                                  4

Work out the value of y, when x is 0              3
                                                  2
4 × 0 + 3 × y = 12                                1

                                       -4 -3 -2 -1 0    1   2   3   4 x
            y =4       (0,4)                      -1
                                                  -2
Work out the value of x, when y is 0              -3
                                                  -4
4 × x + 3 × 0 = 12
    x           =3       (3,0)
Plot the points and join them with a straight line.
Check a point on the line.                      6
                                4 × 1.5 + 3 × 2 = 12
                                      6                             
                                                                     More
                                                                     Next
                                                                     End

More Related Content

What's hot

Polynomial Expression
Polynomial Expression Polynomial Expression
Polynomial Expression AarthiB10
 
GMAT Descriptive Statistics : Mean Median Range
GMAT Descriptive Statistics   : Mean Median RangeGMAT Descriptive Statistics   : Mean Median Range
GMAT Descriptive Statistics : Mean Median Rangeq51
 
Nov. 17 Rational Inequalities
Nov. 17 Rational InequalitiesNov. 17 Rational Inequalities
Nov. 17 Rational InequalitiesRyanWatt
 
Lesson 3 solving linear & quadratic equations
Lesson 3   solving linear & quadratic equationsLesson 3   solving linear & quadratic equations
Lesson 3 solving linear & quadratic equationsnjit-ronbrown
 
Solving Quadratic Equations
Solving Quadratic EquationsSolving Quadratic Equations
Solving Quadratic Equationskliegey524
 
6.7 quadratic inequalities
6.7 quadratic inequalities6.7 quadratic inequalities
6.7 quadratic inequalitiesJessica Garcia
 
Math-80-module1.1
Math-80-module1.1Math-80-module1.1
Math-80-module1.1warrior28
 
6 6 systems of second degree equations
6 6 systems of second degree equations6 6 systems of second degree equations
6 6 systems of second degree equationshisema01
 
Solution3
Solution3Solution3
Solution3H K
 
Solving Equations And Formulas
Solving Equations And Formulas Solving Equations And Formulas
Solving Equations And Formulas Kelly Williams
 

What's hot (17)

Polynomial Expression
Polynomial Expression Polynomial Expression
Polynomial Expression
 
GMAT Descriptive Statistics : Mean Median Range
GMAT Descriptive Statistics   : Mean Median RangeGMAT Descriptive Statistics   : Mean Median Range
GMAT Descriptive Statistics : Mean Median Range
 
Nov. 17 Rational Inequalities
Nov. 17 Rational InequalitiesNov. 17 Rational Inequalities
Nov. 17 Rational Inequalities
 
Lesson 3 solving linear & quadratic equations
Lesson 3   solving linear & quadratic equationsLesson 3   solving linear & quadratic equations
Lesson 3 solving linear & quadratic equations
 
10 minutes quiz
10 minutes quiz10 minutes quiz
10 minutes quiz
 
Cat,mat,gmat, questions
Cat,mat,gmat, questions Cat,mat,gmat, questions
Cat,mat,gmat, questions
 
Solving Quadratic Equations
Solving Quadratic EquationsSolving Quadratic Equations
Solving Quadratic Equations
 
Assure
AssureAssure
Assure
 
6.7 quadratic inequalities
6.7 quadratic inequalities6.7 quadratic inequalities
6.7 quadratic inequalities
 
Chapter annie
Chapter annieChapter annie
Chapter annie
 
Realnumber tso
Realnumber tsoRealnumber tso
Realnumber tso
 
6.2 presentation
6.2 presentation6.2 presentation
6.2 presentation
 
Math-80-module1.1
Math-80-module1.1Math-80-module1.1
Math-80-module1.1
 
6 6 systems of second degree equations
6 6 systems of second degree equations6 6 systems of second degree equations
6 6 systems of second degree equations
 
1a factorization ok
1a factorization ok 1a factorization ok
1a factorization ok
 
Solution3
Solution3Solution3
Solution3
 
Solving Equations And Formulas
Solving Equations And Formulas Solving Equations And Formulas
Solving Equations And Formulas
 

Viewers also liked

Ratio share a quantity
Ratio share a quantityRatio share a quantity
Ratio share a quantityTerry Golden
 
Percentages one of another
Percentages one of anotherPercentages one of another
Percentages one of anotherTerry Golden
 
Qwizdom - Year 8 percentages qwizdom
Qwizdom  - Year 8 percentages qwizdomQwizdom  - Year 8 percentages qwizdom
Qwizdom - Year 8 percentages qwizdomQwizdom UK
 
Percentage spider diagrams1
Percentage spider diagrams1Percentage spider diagrams1
Percentage spider diagrams1Angela Phillips
 
Angles parallel lines
Angles parallel linesAngles parallel lines
Angles parallel linesTerry Golden
 
Fractions division
Fractions divisionFractions division
Fractions divisionTerry Golden
 
Equations with brackets
Equations with bracketsEquations with brackets
Equations with bracketsTerry Golden
 
Grouping data continuous
Grouping data continuousGrouping data continuous
Grouping data continuousTerry Golden
 
Probability not happening
Probability not happeningProbability not happening
Probability not happeningTerry Golden
 
Negative numbers multiplying and dividing
Negative numbers multiplying and dividingNegative numbers multiplying and dividing
Negative numbers multiplying and dividingTerry Golden
 

Viewers also liked (20)

Decimals
DecimalsDecimals
Decimals
 
Ratio share a quantity
Ratio share a quantityRatio share a quantity
Ratio share a quantity
 
Percentages one of another
Percentages one of anotherPercentages one of another
Percentages one of another
 
Graphs 1
Graphs 1Graphs 1
Graphs 1
 
Qwizdom - Year 8 percentages qwizdom
Qwizdom  - Year 8 percentages qwizdomQwizdom  - Year 8 percentages qwizdom
Qwizdom - Year 8 percentages qwizdom
 
Percentage spider diagrams1
Percentage spider diagrams1Percentage spider diagrams1
Percentage spider diagrams1
 
Angles parallel lines
Angles parallel linesAngles parallel lines
Angles parallel lines
 
Brackets
BracketsBrackets
Brackets
 
Fractions division
Fractions divisionFractions division
Fractions division
 
Equations with brackets
Equations with bracketsEquations with brackets
Equations with brackets
 
Grouping data continuous
Grouping data continuousGrouping data continuous
Grouping data continuous
 
Probability not happening
Probability not happeningProbability not happening
Probability not happening
 
Area trapezia
Area trapeziaArea trapezia
Area trapezia
 
Circles area
Circles areaCircles area
Circles area
 
Negative numbers multiplying and dividing
Negative numbers multiplying and dividingNegative numbers multiplying and dividing
Negative numbers multiplying and dividing
 
Enlargement
EnlargementEnlargement
Enlargement
 
Calculators
CalculatorsCalculators
Calculators
 
Scatter graphs
Scatter graphsScatter graphs
Scatter graphs
 
Angles polygons
Angles polygonsAngles polygons
Angles polygons
 
Ratio
RatioRatio
Ratio
 

Similar to Graphs 2

Polynomial Graphing Lesson
Polynomial Graphing LessonPolynomial Graphing Lesson
Polynomial Graphing LessonStephen Sutton
 
Solving quadratics by graphing notes
Solving quadratics by graphing notesSolving quadratics by graphing notes
Solving quadratics by graphing notesMichelle Barnhill
 
Rbsc class-9-maths-chapter-4
Rbsc class-9-maths-chapter-4 Rbsc class-9-maths-chapter-4
Rbsc class-9-maths-chapter-4 Arvind Saini
 
Module 5 Inequalities
Module 5  InequalitiesModule 5  Inequalities
Module 5 Inequalitiesnorainisaser
 
MODULE 5- Inequalities
MODULE 5- InequalitiesMODULE 5- Inequalities
MODULE 5- Inequalitiesguestcc333c
 
Rational Zeros and Decarte's Rule of Signs
Rational Zeros and Decarte's Rule of SignsRational Zeros and Decarte's Rule of Signs
Rational Zeros and Decarte's Rule of Signsswartzje
 
AA Section 6-2
AA Section 6-2AA Section 6-2
AA Section 6-2Jimbo Lamb
 
P1 graphical simultaneousequations
P1 graphical simultaneousequationsP1 graphical simultaneousequations
P1 graphical simultaneousequationswalshbarbaram
 
QUADRATIC EQUATIONS
QUADRATIC EQUATIONSQUADRATIC EQUATIONS
QUADRATIC EQUATIONShiratufail
 
presentation-111004200224-phpapp02.pptx
presentation-111004200224-phpapp02.pptxpresentation-111004200224-phpapp02.pptx
presentation-111004200224-phpapp02.pptxJennilynBalusdan3
 
Complex numbers
Complex numbersComplex numbers
Complex numbersmstf mstf
 
Module 10 Topic 4 solving quadratic equations part 1
Module 10 Topic 4   solving quadratic equations part 1Module 10 Topic 4   solving quadratic equations part 1
Module 10 Topic 4 solving quadratic equations part 1Lori Rapp
 
Mayank and Srishti presentation on gyandeep public school
Mayank  and Srishti presentation on gyandeep public schoolMayank  and Srishti presentation on gyandeep public school
Mayank and Srishti presentation on gyandeep public schoolMayankYadav777500
 

Similar to Graphs 2 (20)

Polynomial Graphing Lesson
Polynomial Graphing LessonPolynomial Graphing Lesson
Polynomial Graphing Lesson
 
Em06 iav
Em06 iavEm06 iav
Em06 iav
 
How to
How toHow to
How to
 
Solving quadratics by graphing notes
Solving quadratics by graphing notesSolving quadratics by graphing notes
Solving quadratics by graphing notes
 
Powers
PowersPowers
Powers
 
Rbsc class-9-maths-chapter-4
Rbsc class-9-maths-chapter-4 Rbsc class-9-maths-chapter-4
Rbsc class-9-maths-chapter-4
 
Jackson d.e.v.
Jackson d.e.v.Jackson d.e.v.
Jackson d.e.v.
 
Module 5 Inequalities
Module 5  InequalitiesModule 5  Inequalities
Module 5 Inequalities
 
MODULE 5- Inequalities
MODULE 5- InequalitiesMODULE 5- Inequalities
MODULE 5- Inequalities
 
Rational Zeros and Decarte's Rule of Signs
Rational Zeros and Decarte's Rule of SignsRational Zeros and Decarte's Rule of Signs
Rational Zeros and Decarte's Rule of Signs
 
AA Section 6-2
AA Section 6-2AA Section 6-2
AA Section 6-2
 
X and y intercept
X and y interceptX and y intercept
X and y intercept
 
Simultaneous equation
Simultaneous equationSimultaneous equation
Simultaneous equation
 
P1 graphical simultaneousequations
P1 graphical simultaneousequationsP1 graphical simultaneousequations
P1 graphical simultaneousequations
 
QUADRATIC EQUATIONS
QUADRATIC EQUATIONSQUADRATIC EQUATIONS
QUADRATIC EQUATIONS
 
presentation-111004200224-phpapp02.pptx
presentation-111004200224-phpapp02.pptxpresentation-111004200224-phpapp02.pptx
presentation-111004200224-phpapp02.pptx
 
Complex numbers
Complex numbersComplex numbers
Complex numbers
 
Evaluation Day2.pptx
Evaluation Day2.pptxEvaluation Day2.pptx
Evaluation Day2.pptx
 
Module 10 Topic 4 solving quadratic equations part 1
Module 10 Topic 4   solving quadratic equations part 1Module 10 Topic 4   solving quadratic equations part 1
Module 10 Topic 4 solving quadratic equations part 1
 
Mayank and Srishti presentation on gyandeep public school
Mayank  and Srishti presentation on gyandeep public schoolMayank  and Srishti presentation on gyandeep public school
Mayank and Srishti presentation on gyandeep public school
 

More from Terry Golden

Reflections rotations translations
Reflections rotations translationsReflections rotations translations
Reflections rotations translationsTerry Golden
 
Probability exclusive
Probability exclusiveProbability exclusive
Probability exclusiveTerry Golden
 
Negative numbers adding and subtracting
Negative numbers adding and subtractingNegative numbers adding and subtracting
Negative numbers adding and subtractingTerry Golden
 
Grouping data stem and leaf diagrams
Grouping data stem and leaf diagramsGrouping data stem and leaf diagrams
Grouping data stem and leaf diagramsTerry Golden
 
Grouping data discrete
Grouping data discreteGrouping data discrete
Grouping data discreteTerry Golden
 
Fractions multiplicatin
Fractions multiplicatinFractions multiplicatin
Fractions multiplicatinTerry Golden
 

More from Terry Golden (14)

Reflections rotations translations
Reflections rotations translationsReflections rotations translations
Reflections rotations translations
 
Probability exclusive
Probability exclusiveProbability exclusive
Probability exclusive
 
Percentages
PercentagesPercentages
Percentages
 
Negative numbers adding and subtracting
Negative numbers adding and subtractingNegative numbers adding and subtracting
Negative numbers adding and subtracting
 
Grouping data stem and leaf diagrams
Grouping data stem and leaf diagramsGrouping data stem and leaf diagrams
Grouping data stem and leaf diagrams
 
Grouping data discrete
Grouping data discreteGrouping data discrete
Grouping data discrete
 
Graphs 3
Graphs 3Graphs 3
Graphs 3
 
Fractions multiplicatin
Fractions multiplicatinFractions multiplicatin
Fractions multiplicatin
 
Factorising
FactorisingFactorising
Factorising
 
Drawing triangles
Drawing trianglesDrawing triangles
Drawing triangles
 
Drawing polygons
Drawing polygonsDrawing polygons
Drawing polygons
 
Correlation
CorrelationCorrelation
Correlation
 
Compound measures
Compound measuresCompound measures
Compound measures
 
Circles diameter
Circles diameterCircles diameter
Circles diameter
 

Graphs 2

  • 1. October 4, 2012 Linear graphs I 2. Harder straight line equations Next
  • 2. Explanation October 4, 2012 Some straight line equations take the form A multiple of x + a multiple of y = a number For example 4x + 3y = 12 y 4 Work out the value of y, when x is 0 3 2 4 × 0 + 3 × y = 12 1 -4 -3 -2 -1 0 1 2 3 4 x y =4 (0,4) -1 -2 Work out the value of x, when y is 0 -3 -4 4 × x + 3 × 0 = 12 x =3 (3,0) Plot the points and join them with a straight line. Check a point on the line. 6 4 × 1.5 + 3 × 2 = 12 6  More Next End