Support · Mathematics Advanced 11–12 – Year 11 · Working with functions

Support Determine the equations of straight lines in gradient–intercept form y = mx + c with gradient m and y -intercept c

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

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Prerequisite dot points

Graph equations of the form y = mx + c by using the gradient and the y-intercept

Stage 5 · Linear relationships B Draft mapping

Use the point–gradient form (y - y_1 = m(x - x_1)) or the gradient–intercept form (y = mx + c) to find the equation of a line passing through a point (x_1,y_1), with a given gradient m

Stage 5 · Linear relationships C (Path) Draft mapping

  • Interactive toolStarter
    Maths Is Fun: Point-slope form
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Point-gradient form of a line explained.
  • SimulationStarterDrill
    PhET Graphing Lines
    PhET Interactive Simulations · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Explore gradient and intercept; the Line Game screen gives quick practice.

Determine the gradient and y -intercept of a straight line from its graph and apply these values to determine the equation of the line

Stage 5 · Linear relationships B Draft mapping