Mathematics·Algebra·conceptual
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
Suggested ages 12–14
Evidence of 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
Assessment prompt
If Linear Function Graphs 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?
Standards alignment
8.EE.5US · ccss-math
Graph proportional relationships
Common Core State Standards for Mathematics · 8
8.EE.6US · ccss-math
Deriving slope and linear equations
Common Core State Standards for Mathematics · 8
8.F.3US · ccss-math
Linear and non-linear functions
Common Core State Standards for Mathematics · 8
KS3.Maths.Alg.11GB · uk-nc-2013
Standard Form of Linear Equations
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3
KS3.Maths.Alg.9GB · uk-nc-2013
Graphs of Linear and Quadratic Functions
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3