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Education Concept Tracker

A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Linear Function Graphs

Mathematics · Algebra · conceptual

Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context

What mastery looks like

  • Explain that changing m in y = mx + c alters the steepness and direction of the line
  • Identify the y-intercept of a line from its equation and from its graph
  • Determine whether a given equation will produce a straight line or a curve

Check your understanding

If Linear Function Graphs sees the equation y = 2x + 3, can they explain what the graph will look like — including how steep it is and where it crosses the y-axis?