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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 5

Linear relationships B
Examine the gradient/slope-intercept form
  • Interpret the coefficient of x(m) as the gradient/slope, and the constant (c) as the y-intercept for equations of the form y=mx+c

  • Find the equation of a straight line in the form y=mx+c, given the gradient/slope and the y-intercept of the line

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

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

  • Explain the effect of increasing or decreasing the gradient with or without digital tools

  • Recognise and describe linear relationships in real-life contexts

Find the equations of parallel and perpendicular lines
  • Explain that 2 straight lines are perpendicular if the product of their gradients is −1

  • Find the equation of a straight line that is parallel or perpendicular to another given line by applying y=mx+c

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