Find the distance between the points (3,6) and (-5,10)

The distance between (3,6) and (-5,10) would be ( 8,2)

When we look at the distance between points, we can make a graph just to give us something to look at and put numbers on. If we subtract the Y values (10 - 6) we get 4...this is the value of one of the legs of a triangle. When we subtract the values of the X values (-5 - 3) we get -8...8 is the value of the other leg. Now we can use pythagorean theorem to find the distance between the two points 4^2 + 8^2 = c^2
                                           16 +  64 = c^2
                                               80  = c^2      (get the square root of each)
                                               8.9 = c    (our distance between points)

The solution to the system of equations (-2,2)