Question

Find the distance between the points (-2,-3) and (-3,-1)Give an exact answer, simplifying any radicals

Answer 1

Given the points (-2,-3) and (-3,-1)

We will find the distance between the points using the following formula:

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

Substitute with the given points:

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

So, the answer will be:

The distance = √5