The distance formula between two points on a number line can be used to find the distance between points.
The distance AB = (1)
Or
The distance AB = (2)
From figure; the coordinates of A and B are 2 and 10 respectively.
First try the formula (1):
Substitute the coordinate values in the distance formula.
The distance AB =
(Subtract )
The distance is a positive unit and can not be negative, so the absolute value considered. The distance AB = 8 units.
Next, try the formula (2):
Substitute the coordinate values in the distance formula.
The distance AB =
(Subtract )
(Absolute value of 8 is 8)
The distance AB = 8 units.
The measure AB is 8 units.
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