Chapter 11, Problem 244RE

In the following exercises, find the distance between the points. Round to the nearest tenth if needed.

244. $\left(-5,1\right)$ and $\left(-1,4\right)$

To determine

To find:

The distance between the points. Round to the nearest tenth if needed.

Answer to Problem 244RE

The distance between the given points is $5$ units

Explanation of Solution

Given:

$\left(-5,1\right)\text{ and }\left(-1,4\right)$

Concept used:

Distance formula is given by:

$d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

Calculation:

The given points are $\left(-5,1\right)\text{ and }\left(-1,4\right)$

Applying the distance formula in order to find the distance between these two points.

$d=\sqrt{{\left(-1+5\right)}^2+{\left(4-1\right)}^2}$

On simplifying

$\begin{array}{c}d=\sqrt{{\left(4\right)}^2+{\left(3\right)}^2}\\ =\sqrt{16+9}\\ =\sqrt{25}\\ =5\end{array}$

Therefore, the distance between the given points is $5$ units