Length of a Line and Midpoint

Distance between two points

For points A(x1, y1) and B(x2, y2):

AB = √[(x2 - x1)2 + (y2 - y1)2]

This comes from Pythagoras' Theorem.

Example: Distance from (1, 2) to (4, 6) = √[(4-1)2 + (6-2)2] = √[9 + 16] = √25 = 5

Midpoint of a line

Midpoint M = ((x1 + x2)/2 , (y1 + y2)/2)

Example: Midpoint of (2, 3) and (6, 7) = ((2+6)/2 , (3+7)/2) = (4, 5)

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Related Exercises

Distance and midpoint

Calculate:Distance between (0, 0) and (3, 4)Distance between (-1, 2) and (2, 6)Midpoint of (2, 5) and (8, 1)Midpoint of …

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