Families of Straight Lines (VCE SSCE Mathematical Methods): Flashcards

Collection of lines sharing a common property

Variable that changes to create different family members

$y = mx$ where $m$ is the parameter (gradient)

Same gradient (3); all parallel; $c$ is parameter

All pass through $(0,2)$; $m$ is parameter

Substitute point coordinates into the equation

Set $y = 0$ and solve for $x$

Reverse the inequality sign

$-\frac{1}{m}$

$\frac{x}{a} + \frac{y}{b} = 1$ where $a$, $b$ are intercepts