Question

What is the distance between points A and B?

Answer 1

By definition, the formula to find the distance between two points, is given by:
 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
 The ordered pairs as they are located on a line are:
 (x1, y1) = (- 5.0)
 (x2, y2) = (1,0)
 By applying the formula we have:
 d = root ((1 - (- 5)) ^ 2 + (0-0) ^ 2)
 d = 6
 Answer:
 the distance between points A and B is:
 d = 6 units

Answer 2

The distance between two points is the number of units between them.

The distance between points A and B is 6 units

From the number line, we have the following parameters:

• Point A = -5
• Point B = 1

The distance (d) between these points is then calculated using the following absolute difference

$d = |B - A|$

So, we have:

$d = |1 - -5|$

Rewrite the above equation as

$d = |1 +5|$

Evaluate the sum

$d = |6|$

$d = 6$

Hence, the distance between points A and B is 6 units

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