3. Coordinate geometry
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C3.1 Coordinates
C3.1.1
• Use and interpret Cartesian coordinates in two dimensions.
C3.2 Drawing linear graphs
C3.2.1
• Draw straight-line graphs for linear equations. Equations will be given in the form y = mx + c (e.g. y = –2x + 5), unless a table of values is given.
C3.3 Gradient of linear graphs
C3.3.1
• Find the gradient of a straight line. From a grid only.
C3.5 Equations of linear graphs
C3.5.1
• Interpret and obtain the equation of a straight-line graph in the form y = mx + c. Questions may: • use and request lines in the forms 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 the equation y = 6x + 3. Candidates are expected to give equations of a line in a fully simplified form.
C3.6 Parallel lines
C3.6.1
• 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).