Mathematics Algebra Conceptual 12–14 yrs

Linear Function Graphs

一次函数图象

Description

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

Mastery Evidence

✓ 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 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?