Finding x- and y-intercepts

Explore Finding x- and y-intercepts.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • CorbettMaths on x- and y-interceptsQuestions 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

  • Intercept
  • x-intercept
  • y-intercept
  • Axis crossing
  • Linear equation
  • Gradient
  • y = mx + c
  • Constant term

Task goals

  • Find the y-intercept from a linear equation by identifying the constant term or setting $x=0$.
  • Find the x-intercept from a linear equation by setting $y=0$ and solving for $x$.
  • Interpret x- and y-intercepts as key points where lines cross the axes.
  • Use intercepts to sketch and understand the behaviour of linear graphs.
  • Apply intercepts to solve real-world problems involving linear relationships.

Key skills

  • x-intercept
  • y-intercept
  • Intercepts
  • Linear graphs
  • Coordinates
  • Gradient
  • Equation of line

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included