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=√((-2-(-3))^2+(-3-(-1)^2))=√((1)^2+(-2)^2) \\ \\ =√(1+4)=√(5) \end{gathered}`

So, the answer will be:

The distance = √5