exact distance between (4,-6) and (13,-15)

Question

the exact and approximate distance between the two order pairs (4,-6) and (13,-15) can you please show me how to do it and give me the answers

Answer 1

The formula for the distance (d) between two ordered pairs. (x₁,y₁) and (x₂,y₂), is:

 

d² = (x2-x1)² + (y2-y1)²                    [This is just the Pythagorean Theorem]

 

The two ordered pairs in this problem are (4,-6) and (13,-15):

 

d² = (13-4)² + (-15-(-6))²

 

d² = 9² + (-9)²

 

d² = 81 + 81 = 162

 

d = √162 = √(81*2) = 9√2 ≅ 12.73