1. (Gradient/Intercept)
General Mathematics
Preliminary
Modelling Linear
Relationships
Drawing Graphs
(Gradient/Intercept)
Stage 6 - Year 11
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2. using gradient and intercept
Drawing Graphs (1/5)
using gradient and intercept
y = mx + b
gradient
y-intercept
y = 3x - 2

3. using gradient and intercept
Drawing Graphs (2/5)
using gradient and intercept
y = 3x - 2 1 2 3 4 5 6 7 8 -1 -2 -3
b = -2 3 1
rise
run
m = 3 = 3 1

4. using gradient and intercept
Drawing Graphs (3/5)
using gradient and intercept
y = -2x + 3 1 2 3 4 5 6 7 8 -1 -2 -3 2
b = 3 2 -1
rise
run -1
m =-2 =

5. using gradient and intercept
Drawing Graphs (4/5)
using gradient and intercept
y = x + 2 1 2 3 4 5 6 7 8 -1 -2 -3
b = 2 1
rise
run 1
m = 1 = 1

6. using gradient and intercept
Drawing Graphs (5/5)
using gradient and intercept
y = -x + 3 1 2 3 4 5 6 7 8 -1 -2 -3
b = 3 1 -1 1
rise
run -1
m =-1 =