Linear Graphs from Algebraic Rules (Table of Values)

Use a linear rule written as f(x) or y to calculate outputs, complete a table of values, write ordered pairs, plot the points, and draw and interpret the straight-line graph.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-9
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-11
  • NZC26-P4-ALG-ER-K-Y9-05
  • NZC26-P4-ALG-ER-K-Y9-09
  • NZC26-P4-ALG-ER-P-Y9-10
  • NZC26-P4-ALG-ER-P-Y10-07
  • NZC26-P4-ALG-ER-K-Y9-08
  • NZC26-P4-ALG-ER-K-Y9-10
  • NZC26-P4-ALG-ER-K-Y9-07
  • NZC26-P4-ALG-ER-P-Y9-08
  • NZC26-P4-ALG-ER-P-Y9-09
  • NZC26-P4-ALG-ER-P-Y9-07

Resources

  • Beta: Plotting co-ordinates, Ex 13.01, pgs 230 & 231
  • Beta: Drawing line from equation, Ex 13.02, pg 233
  • Dr Austin Maths - Finding Equations of Straight Lines from Graphs Practice GridQuestions PDF · Answers

Terminology

  • Function
  • Input
  • Output
  • Function notation
  • Table of values
  • Ordered pair
  • Gradient
  • y-intercept
  • y = mx + c
  • Rule
  • Cartesian plane

Task goals

  • Foundation: Evaluate a linear function, including f(x) notation and negative inputs; complete a table of values; write ordered pairs; and plot and join the points.
  • Proficient: Draw straight-line graphs directly from rules given in the form y = mx + c, identifying gradient and y-intercept from the rule.
  • Excellence: Graph and compare two or more linear rules on the same axes, including rearranging a rule into y = mx + c form first, and interpret where lines meet.

Where this fits

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

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Linear Graphs from Algebraic Rules (Table of Values)

Linear Graphs from Algebraic Rules (Table of Values)

Do

Identifying the constant increase or decrease in a linear pattern, using variables and algebraic notation to represent the rule in an equation, and drawing on the rule to make conjectures

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-11
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

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