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MathematicsAlgebraAges 12–14

Linear Function Graphs

Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context

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If your child sees the equation y = 2x + 3, can they explain what the graph will look like — including how steep it is and where it crosses the y-axis?

Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context

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Check understanding

  • Explain that changing m in y = mx + c alters the steepness and direction of the line
  • Identify the y-intercept of a line from its equation and from its graph
  • Determine whether a given equation will produce a straight line or a curve
“If your child sees the equation y = 2x + 3, can they explain what the graph will look like — including how steep it is and where it crosses the y-axis?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Algebra
Age range
Ages 12–14

Standards

ccss-math:8.EE.5ccss-math:8.EE.6ccss-math:8.F.3uk-nc-2013:KS3.Maths.Alg.11uk-nc-2013:KS3.Maths.Alg.9