Coordinate Geometry

Worked examples (9)extended set

• 1Graphing a single inequality
• 2Writing inequalities from a context
• 3Finding the vertices of a region
• 4Three inequalities for a region with two sloping sides
• 5Drawing and labelling a region from three inequalities
• 6Reading a region from a graph
• 7Inequalities for a region drawn on a grid
• 8Completing a region from three inequalities
• 9Inequalities for a triangle, and a missing coordinate

Worked examples (11)extended set

• 1Gradient of a line drawn on a grid
• 2Gradient as a rate of change
• 3Fourth vertex of a parallelogram
• 4Circle from the ends of a diameter
• 5Proving a right angle with gradients
• 6Ramp gradient against a regulation
• 7Unknown point from a given length
• 8Spotting the errors in a kite proof
• 9Points at a surd distance from a given point
• 10Gradient and extension with unknown coordinates
• 11A point dividing a line segment in a ratio

Worked examples (12)extended set

• 1Gradient, midpoint and length
• 2Equation of a line through two points
• 3Parallel lines
• 4Perpendicular lines
• 5Rearranging into gradient-intercept form
• 6Perpendicular bisector
• 7Equations of two lines drawn on a grid
• 8Comparing two taxi fares with straight-line graphs
• 9A line through a point that cuts off a given area
• 10Perpendicular line through a point dividing a segment in a ratio
• 11A line in bracket form, and lines parallel to the axes
• 12Equation of a tangent drawn from a point