Question

The distance $d$from the point $(2,-3)$to the point $(5,1)$is ______.

Short answer

$5$

Step-by-step solution

Step 1. Given information

We have provided two points and we have to find the distance between them.

Points are:

$(2,-3),(5,1)$

Step 2. Find the distance using the formula

Formula for finding the distance between the two points is:

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

Therefore,

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