(Free to use. May not be sold) Year 12 - General Linear Functions Press ‘Ctrl-A’ © G Dear 2009 (Free to use. May not be sold) 1

y = mx + b Linear Functions (1/5) Both independent and dependent variable horizontal vertical have an index of 1. y = mx + b 1 1 When graphed they appear as a straight line. dependent y x independent

Graphing Linear Functions (2/5) y = 3x - 2 x 1 2 independent y -2 1 4 dependent x y 1 2 3 4 -1 -2 y = 3 x 2 1 - 2 = -2 4 1

Graphing Linear Functions (3/5) C = 5n + 20 n 5 10 15 independent C 45 70 95 dependent n C 20 5 10 40 60 80 100 15

Graphing Linear Functions (4/5) P = 20 – 5N N 1 2 3 independent P 15 10 5 dependent N P 5 1 2 10 15 20 25 3

Simultaneous Linear Functions (5/5) v = 3t - 2 t v 1 2 3 4 -1 -2 t 1 2 v -2 1 4 v = 2 - t t 1 2 v 2 1 Where two lines cross can be meaningful. Where do the 2 lines cross? When are their velocities equal? t = 1 6