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3. Coordinate geometry

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  1. E3.1 Coordinates

    1. E3.1.1

      • Use and interpret Cartesian coordinates in two dimensions.

  2. E3.2 Drawing linear graphs

    1. E3.2.1

      • Draw straight-line graphs for linear equations. Examples include: • y = –2x + 5 • y = 7 – 4x • 3x + 2y = 5.

  3. E3.3 Gradient of linear graphs

    1. E3.3.1Find the gradient of a straight line.

      • Find the gradient of a straight line.

    2. E3.3.2Calculate the gradient of a straight line from the coordinates of two

      • Calculate the gradient of a straight line from the coordinates of two points on it.

  4. E3.4 Length and midpoint

    1. E3.4.1Calculate the length of a line segment.

      • Calculate the length of a line segment.

    2. E3.4.2Find the coordinates of the midpoint of a line segment.

      • Find the coordinates of the midpoint of a line segment.

  5. E3.5 Equations of linear graphs

    1. E3.5.1

      • Interpret and obtain the equation of a straight-line graph. Questions may: • use and request lines in different forms, e.g. ax + by = c y = mx + c x = k • involve finding the equation when the graph is given • ask for the gradient or y-intercept of a graph from an equation, e.g. find the gradient and y-intercept of the graph with equation 5x + 4y = 8. Candidates are expected to give equations of a line in a fully simplified form.

  6. E3.6 Parallel lines

    1. E3.6.1

      • Find the gradient and equation of a straight line parallel to a given line. e.g. find the equation of the line parallel to y = 4x – 1 that passes through (1, –3).

  7. E3.7 Perpendicular lines

    1. E3.7.1

      • Find the gradient and equation of a straight line perpendicular to a given line. Examples include: • find the gradient of a line perpendicular to 2y = 3x + 1 • find the equation of the perpendicular bisector of the line joining the points (–3, 8) and (9, –2).