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Brainlag Learn / GCSE Maths

Straight-line graphs

Coordinates and midpoints, gradients and intercepts, the equation of a line, parallel and perpendicular lines, and straight-line graphs in real life.

Lessons

  1. Coordinates, midpoints and plotting linesRead and plot points in all four quadrants, find midpoints, and draw straight lines from a table of values. 20 min, with the Graphing Calculator, free
  2. y = mx + cGradient is change in y over change in x; in y = mx + c, m is the gradient and c is where the line crosses the y-axis. 25 min, with the Straight-line graphs simulation, free
  3. Finding the equation of a lineFind m, then substitute a point to find c: from a gradient and a point, from two points, or from a graph. 25 min, with the Straight-line graphs simulation, Plus
  4. Parallel and perpendicular linesParallel lines share a gradient; perpendicular gradients multiply to −1. Use both to find equations, including perpendicular bisectors. 25 min, with the Graphing Calculator, Plus, Higher tier
  5. Real-life graphsRead conversion, distance-time and cost graphs, say what the gradient and intercept mean, and solve simultaneous equations where two lines cross. 25 min, with the Graphing Calculator, Plus

Practise and test

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