Question

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

$\left(-2,5\right)$and$\left(1,5\right)$

Short answer

3

Step-by-step solution

Step 1. Given information.

The coordinate of the two points are:$\left(-2,5\right)$and$\left(1,5\right)$.

Step 2. Finding the distance between the two points. 

The distance between the points $\left(x_1,y_1\right)$and $\left(x_2,y_2\right)$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 the two given points becomes

$$\begin{gathered} d=\sqrt{{\left(1-\left(-2\right)\right)}^2+{\left(5-5\right)}^2} \\ d=\sqrt{3^2+0^2} \\ d=3 \end{gathered}$$