Question

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

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

Short answer

5

Step-by-step solution

Step 1. Given information.

The coordinate of the two points are$\left(-5,1\right)$and$\left(-1,4\right)$.

Step 2. Finding the distance between the points.

The distance between two points $\left(x_1,y_1\right)$and $(x_2,y_2)$can be expressed as

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

Substituting the values, the distance between $\left(-5,1\right)$and $\left(-1,4\right)$will be

$$\begin{gathered} d=\sqrt{{\left(-1-\left(-5\right)\right)}^2+{\left(4-1\right)}^2} \\ d=\sqrt{4^2+3^2} \\ d=\sqrt{25} \\ d=5 \end{gathered}$$