Coordinate Geometry

Work with coordinates to find midpoints, distances, gradients, and equations of lines and circles.

Equation of a Circle

Write and use the equation of a circle centred at the origin and at a general point (a, b), and find tangent lines to circles.

Equation of a Straight Line

Write and use the equation y = mx + c, find equations from two points, and identify parallel and perpendicular lines.

Gradient and Midpoint of a Line Segment

Calculate the gradient and midpoint of a line segment joining two coordinate points.