Sketching a Straight Line from Its Equation

Complete a table of values for a simple linear equation and plot the points to draw a straight-line graph.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-9
  • NA5-9
New NZC (2026)
  • NZC26-P4-ALG-ER-K-Y9-05
  • NZC26-P4-ALG-ER-K-Y9-06
  • NZC26-P4-ALG-ER-P-Y10-06
  • NZC26-P4-ALG-ER-K-Y9-08
  • NZC26-P4-ALG-ER-K-Y9-07
  • NZC26-P4-ALG-ER-P-Y10-05

Resources

Terminology

  • Straight-line graph
  • Gradient
  • y-intercept
  • Equation of a line
  • Table of values
  • Coordinates
  • x-axis
  • y-axis

Task goals

  • Foundation: Complete a table of values for a simple linear equation and plot the points to draw a straight-line graph.
  • Proficient: Graph a linear equation given in the form y = mx + c directly, correctly identifying and using the gradient and y-intercept.
  • Excellence: Interpret, compare and find the intersection point of two or more linear graphs in a real-world context.

Where this fits

What leads into this objective, and where it goes next.

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Sketching a Straight Line from Its Equation

Sketching a Straight Line from Its Equation

Know

For a specific straight line, the gradient, m, and y-intercept, c, are fixed, and x varies with y according to the rule y = mx + c.

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-05
Know

The y-intercept touches the y-axis and has coordinates (0,c).

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-06

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