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Q. 2

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Found in: Page 13

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# If $-3$ and 5 are the coordinates of two points on the real number line, the distance between these points is _________.

The distance between the given points is 8.

See the step by step solution

## Step 1. Given information.

The given statement is:

If and 5 are the coordinates of two points on the real number line, the distance between these points is _________.

## Step 2. Determine the distance between two points.

Subtract the smaller number from the larger number.

$\begin{array}{rcl}5-\left(-3\right)& =& 5+3\\ & =& 8\end{array}$

We can use absolute value to calculate the distance between two points without being concerned about which is smaller.

$\begin{array}{rcl}\left|-3-5\right|& =& \left|-8\right|\\ & =& 8\end{array}$

## Step 3. Conclusion.

The distance between the given points is 8.