Question

What is the distance between (–6, 2) and (8, 10) on a coordinate grid?

Answer 1

Distance Formula:

Let (-6,2) be P1 and (8,10) be P2.$d= \sqrt{( x_{2}-x_{1})^2 +( y_{2}-y_{1})^2 } d= \sqrt{(8-(-6))^2 +( 10-2)^2 } d= \sqrt{(8+6)^2 +( 10-2)^2 } d= \sqrt{(14)^2 +( 8)^2 } d= \sqrt{196 +64 } d= \sqrt{260} d=2 \sqrt{65}$