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 Notes: On the x-axis  y=0 On the y-axis  x=0 Careful with negative numbers particularly in square roots as once they are squared they become positive as seen above

MATH STUDIES

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Geometry and Trigonometry

Geometry in two dimensions

Given two points A with coordinates (x1;y1) and B with coordinates (x2;y2)on the straight line (AB) we can calculate and find:

1. The mid-point of (AB)  M

2. The distance between the two points A and B

3. The gradient of the line (AB)  m

Example: Given A (2 ; 5) and B (-2 ; 13) Find

1. The mid-point of (AB) M

2. The distance AB

3. Gradient of the line (AB)

Working:

1. The midpoint of (AB) M

2. The distance AB

The answer can be left as a square root of a natural number (exact answer) or given to 3 significant figures = 8.94 units

3. The gradient of line (AB) m

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