how do you find the distance between two points?

Question

how do you find the distance between two points, on a graph? I need homework help, and this question is confusing for me. The points are (-3,2) and (4,-4)

Answer 1

If you draw the 2 points on the graph.

  

 You see that the distance is use of Pythagoras theorem:

  

 √( - 3 - 4) ^2 + ( 2 -(-4))^2 ) = √(-7^2 + 6^2) = √75 = 5 √3