Finding point of intersection of two lines

Find the point of intersection of two straight lines, either by reading it directly from a graph or by working it out algebraically from their equations.

Worksheet Builder All resources ☕ Shout us a flat white Download All

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA6-5
New NZC (2026)
  • NZC26-P4-ALG-ER-K-Y9-07

Resources

  • Beta: Intercept of lines, Ex 13.07 to Ex 13.08, pgs 240 & 241
  • Dr Austin Maths - Solving Linear Simultaneous Equations Graphically Practice GridQuestions PDF · Answers

Terminology

  • point of intersection
  • common point
  • ordered pair
  • graph scale
  • parallel lines
  • coincident lines

Task goals

  • Locate where two straight lines cross and read the intersection as an ordered pair, x-coordinate first.
  • Read intersections in all four quadrants and on either coordinate axis.
  • Use finer graph scales to estimate half-unit and decimal intersection coordinates.
  • Explain when a displayed graph has one intersection, no intersection, or coincident lines with infinitely many common points.

Where this fits

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

You are here

Finding point of intersection of two lines

Finding point of intersection of two lines

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

Explore the whole sequence →