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Coordinate Geometry:


Infinite gradient (x=n)

Positive gradient

No gradient (x=0, y=infinite)

Negative gradient

Finding the gradient:

A = (x,y)

B = (x,y)

y-y y-y
Gradient = Change in y
Change in x = x-x = x-x

Note that tan also = gradient

FSMQ Maths 2011-2012

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Finding the perpendicular line:

y=mx+c (you are trying to find the perpendicular gradient to this)

If m is called m so the perpendicular line will be called m for clarity.

Let's say the gradient of a line is -2 and we are trying to find the perpendicular line.

The rule…

Page 3

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When there is a known gradient and one point ­

Use the equation y-y = m(x-x)

This is best explained with an example:

Find the equation of the line with gradient 3 which passes through (2, 5) in the form

y-5 = 3(x-2)

so y-5 = 3x-6

so y…


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