Question

What is the length of the segment that joins the points: (-2,3) and (-8,-7)?
Write answer in simplified radical form.

Answer 1

2sqrt(17)

Answer 2

This is how you solve any distance problem. Just realize there's a right triangle there, then use the Pythagorean formula.

Answer 3

Distance b/w 2 coordinates
= \[s \sqrt{(x _{2-}}x _{1)^{2}}+(y _{2-}y _{1})^{2}\]
=\[\sqrt{(-8--2)^{2}}+(-7-3)^{2}\]
= \[\sqrt{-6^{2}}+-10^{2}\]
= \[\sqrt{36+100}\]
= \[\sqrt{136}\]