SOLUTION: can you please help me find the distance between (-5,6) and (4,-6)

Question 78895: can you please help me find the distance between (-5,6) and (4,-6)
Answer by mathdoc314(58) (Show Source): You can put this solution on YOUR website!
This is a lovely problem to do for me since I have not done it in a long time
The wonderful thing about coordinates is that all your x lines and your y lines are parallel and perpendicular.
The horizontal distance in x between those points (-5,6) and (4,-6) is 9
(or 4 - (-5)) and the vertical difference is 12 (which is 6 - (-6)). I do not even care in this whether I get the sign wrong,
The next thing I am going to do is use the pythagorean theorem or the distance formula. The pythagorean theorem says we have a right triangle, one leg is 9 and another leg is 12
12^2 + 9^2 = 144 + 81 = 225 = 15^2
Those two points are 15 units apart I guar-un-tee it!
The boring distance formula tells you
which is the same thing.
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