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Title: Coordinate Geometry notes (AS Level)
Description: Simple Coordinate Geometry notes
Description: Simple Coordinate Geometry notes
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Coordinate Geometry
Gradient
The gradient of the line is found by dividing the difference in Y coordinates
with the difference in X coordinates
...
g
...
M1 x M2 = -1
e
...
M1= _1_ _1_ x M2 = -1
-4 -4
M2 = 4
Parallel lines
The gradient of a parallel line (M2) is equal to the gradient of the original line
(M1)
...
g
...
e
...
Y – 3 = _ 1_ (X – 2)
-4
(x-4) -4Y + 12 = X – 2
X + 4Y – 14 = 0
Length of a line
The length of a line is the square root of the difference in X coordinates
squared minus the difference in Y coordinates squared
...
g
...
8729…
...
87
Mid-point
The midpoint is found by adding the X coordinates and dividing by 2 and
adding the Y coordinates and dividing by 2
...
5 )
2
2
Title: Coordinate Geometry notes (AS Level)
Description: Simple Coordinate Geometry notes
Description: Simple Coordinate Geometry notes