1. ©G Dear 2010 – Not to be sold/Free to use
Applied Mathematic
(Preliminary Extension 1)
Straight
Line Graphs
Gradient
given two points
Stage 6 - Year 11
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©G Dear 2010 – Not to be sold/Free to use

2. Gradient between two points
Find the gradient between (1,1) and (4,3). y
m =
y2 – y1
x2 – x1 4
(4,3) = – 3 1 3 4 1 2 1 = 2 3
(1,1) x -3 -2 -1 1 2 3 4 -1 -2
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3. Midpoint Formula -2 -3 Use the Midpoint formula to find
the midpoint between (-3,-2) and (3,4). y
m =
y2 – y1
x2 – x1
(3,4) 4 = – 4 -2 3 3 -3 2 1 = 6
= 1 x -3 -2 -1 1 2 3 4 -1 -2
(-3,-2)
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