How to Identify the Kind of Relationship in a Graph (Grade 12 NSC Matric Mathematical Literacy): Flashcards

Straight line not passing through origin (0,0)

Constant rate of change with starting value/offset

Straight line always passing through origin (0,0)

$y = kx$ where $k$ is positive constant

The other quantity also doubles

Curve (hyperbola) not touching either axis

One quantity increases, other decreases

$xy = k$ or $y = \frac{k}{x}$ where $k$ is constant

Upward curve touching y-axis, accelerating growth

J-shaped: starts flat, rises more and more steeply