Drawing straight-line from given equation

Draw a straight-line graph from its equation by either building a table of values and plotting the points, or by starting at the y-intercept and using the gradient to plot the rest of the line.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-9
New NZC (2026)
  • NZC26-P4-ALG-ER-K-Y9-07
  • NZC26-P4-ALG-ER-P-Y9-07

Resources

  • Alpha textbook: Coordinate patterns, Ex 18.01, pg 280-281
  • CorbettMaths on straight-line graphQuestions PDF · Answers
  • Beta: Plotting co-ordinates, Ex 13.01, pgs 230 & 231
  • Beta: Drawing line from equation, Ex 13.02, pg 233
  • Beta: Gradients, Ex 13.03 to Ex 13.06, pgs 235 & 239
  • Beta: Intercept of lines, Ex 13.07 to Ex 13.08, pgs 240 & 241
  • Beta: Horizontal and vertical lines, Ex 13.09, pg 243
  • Beta: Applying straight-line rules, Ex 13.10, pgs 244 to 246

Terminology

  • gradient
  • y-intercept
  • straight-line graph
  • substitution

Task goals

  • Draw straight-line graphs supplied in y=mx+c form using a table of values.
  • Draw straight-line graphs by plotting the y-intercept and stepping with the gradient as rise over run.
  • Choose denominator-sized runs for fractional gradients so plotted coordinates remain exact.
  • Interpret decimal gradients as equivalent fractions and draw horizontal equations y=c.
  • Verify a finished line with a third point found by substitution.

Where this fits

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

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Drawing straight-line from given equation

Drawing straight-line from given equation

Know

In the equation of a line y = mx + c, m and c represent constants (they are unchanging), y and x can vary, and all the values of x and y that satisfy the equation create an infinite number of points that form the line.

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-07
Do

Interpreting rules of the form y = mx + c and using a combination of substitution and tables to plot points from the linear graph, connecting the points to form a line

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-07

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