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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
    8 主题
  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
    3 主题
  7. Tree-Diagrams- Wjec-Eduqas Higher
    1 主题
  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
    3 主题
  9. Introduction-To-Probability Wjec-Eduqas Higher
    3 主题
  10. Transformations Wjec-Eduqas Higher
    5 主题
  11. Vectors Wjec-Eduqas Higher
    6 主题
  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    1 主题
  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
    4 主题
  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
    4 主题
  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
    1 主题
  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
    5 主题
  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
    3 主题
  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
    2 主题
  19. Area-And-Perimeter- Wjec-Eduqas Higher
    4 主题
  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
    5 主题
  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
    3 主题
  23. Symmetry-And-Shapes Wjec-Eduqas Higher
    6 主题
  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
    2 主题
  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
    5 主题
  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
    2 主题
  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
    2 主题
  28. Ratios Wjec-Eduqas Higher
    3 主题
  29. Sequences Wjec-Eduqas Higher
    4 主题
  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
    2 主题
  31. Graphing-Inequalities- Wjec-Eduqas Higher
    2 主题
  32. Solving-Inequalities- Wjec-Eduqas Higher
    2 主题
  33. Real-Life-Graphs Wjec-Eduqas Higher
    4 主题
  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
    2 主题
  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
    2 主题
  36. Graphs-Of-Functions Wjec-Eduqas Higher
    6 主题
  37. Linear-Graphs Wjec-Eduqas Higher
    4 主题
  38. Quadratic-Equations Wjec-Eduqas Higher
    4 主题
  39. Linear-Equations- Wjec-Eduqas Higher
    1 主题
  40. Algebraic-Proof Wjec-Eduqas Higher
    1 主题
  41. Rearranging-Formulae Wjec-Eduqas Higher
    2 主题
  42. Coordinate-Geometry- Wjec-Eduqas Higher
    4 主题
  43. Functions Wjec-Eduqas Higher
    3 主题
  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
    3 主题
  45. Iteration Wjec-Eduqas Higher
    2 主题
  46. Simultaneous-Equations Wjec-Eduqas Higher
    2 主题
  47. Algebraic-Fractions- Wjec-Eduqas Higher
    4 主题
  48. Completing-The-Square Wjec-Eduqas Higher
    1 主题
  49. Factorising Wjec-Eduqas Higher
    6 主题
  50. Expanding-Brackets Wjec-Eduqas Higher
    3 主题
  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
    1 主题
  52. Introduction-To-Algebra Wjec-Eduqas Higher
    4 主题
  53. Using-A-Calculator Wjec-Eduqas Higher
    1 主题
  54. Surds Wjec-Eduqas Higher
    2 主题
  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
    2 主题
  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
    3 主题
  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
    4 主题
  58. Percentages Wjec-Eduqas Higher
    3 主题
  59. Fractions Wjec-Eduqas Higher
    4 主题
  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
    4 主题
  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
    4 主题
  62. Number-Operations Wjec-Eduqas Higher
    10 主题
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Exam code:C300

Gradient of a line

What is the gradient of a line?

  • The gradient is a measure of how steep a straight line is

  • A gradient of 3 means:

    • For every 1 unit to the right, go up by 3

  • A gradient of -4 means:

    • For every 1 unit to the right, go down by 4 

  • A gradient of 3 is steeper than 2

    • A gradient of -5 is steeper than -4

  • A positive gradient means the line goes upwards (uphill)

    • Bottom left to top right 

  • A negative gradient means the line goes downwards (downhill)

  • Top left to bottom right

How do I find the gradient of a line?

  • Find two points on the line and draw a right-angled triangle

    • Then gradient space equals space fraction numerator change space in space y over denominator change space in space x end fraction

    • Or, in short, rise over run 

      • The rise is the vertical length of the triangle

      • The run is the horizontal length of the triangle

    • Put the correct sign on your answer

      • Positive for uphill lines

      • Negative for downhill lines

    • You can also find gradient of a line between two points, open parentheses x subscript 1 comma space y subscript 1 close parentheses and open parentheses x subscript 2 comma space y subscript 2 close parentheses 

      • Use the formula <img alt=”fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction” data-mathml='<math ><semantics><mfrac><mrow><msub><mi>y</mi><mn>2</mn></msub><mo>-</mo><msub><mi>y</mi><mn>1</mn></msub></mrow><mrow><msub><mi>x</mi><mn>2</mn></msub><mo>-</mo><msub><mi>x</mi><mn>1</mn></msub></mrow></mfrac><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”59″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2259%22%20width%3D%2260%22%20wrs%3Abaseline%3D%2236%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ey%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmsub%3E%3Cmi%3Ey%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmsub%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math1da40657c9fece7e48d30af42d3’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADRjdnQgDVUNBwAAAVAAAAA6Z2x5ZoPi2VsAAAGMAAAAcmhlYWQQC2qxAAACAAAAADZoaGVhCGsXSAAAAjgAAAAkaG10eE2rRkcAAAJcAAAACGxvY2EAHTwYAAACZAAAAAxtYXhwBT0FPgAAAnAAAAAgbmFtZaBxlY4AAAKQAAABn3Bvc3QB9wD6AAAEMAAAACBwcmVwa1uragAABFAAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACAAAAAEAAQAAQAAIhL%2F%2FwAAIhL%2F%2F93vAAEAAAAAAAABVAMsAIABAABWACoCWAIeAQ4BLAIsAFoBgAKAAKAA1ACAAAAAAAAAACsAVQCAAKsA1QEAASsABwAAAAIAVQAAAwADqwADAAcAADMRIRElIREhVQKr%2FasCAP4AA6v8VVUDAAABAIABVQLVAasAAwAwGAGwBBCxAAP2sAM8sQIH9b

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