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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Teaching Table
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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?”
Full guide and materials
- Activity. 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
What to notice. 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
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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