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

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

3. 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

4. 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

5. 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

6. 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