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Step-by-step Answer
PAGE: 25SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

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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