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Expert-verified Found in: Page 15 ### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279 # For the following coordinates of two points on a number line, state the distance between the points $-3$ and $-17$.

The distance between the two points is 14.

See the step by step solution

## Step 1. Apply the absolute difference formula.

The Distance can be calculated by taking the absolute value of the difference of coordinates of points. The absolute difference of two real numbers x and y can be calculated by $\left|x-y\right|$. It describes the distance on the real line between the points corresponding to x and y.

## Step 2. Calculate the absolute difference.

Let $x=-3$ and $y=-17$ be the coordinates of two points $\left(-3,-17\right)$.

## Step 3. Step description.

Substitute $-3$ for x and $-17$ for y to determine the absolute value difference.

$\text{distance}=|x-y|\phantom{\rule{0ex}{0ex}}=|-3-\left(-17\right)|\phantom{\rule{0ex}{0ex}}=|-3+17|\phantom{\rule{0ex}{0ex}}=14$

Hence, the distance between the two points is 14. ### Want to see more solutions like these? 