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
Teaching approaches
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1 approach
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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Learning resources
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3 before · 4 after
Before
This concept
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