I need help the correct formula for the problem below

Question

how to figure out the distance between (-1.0) and(2.-4)

Answer 1

In general, when you have a pair of points (x₁,y₁) and (x₂,y₂), the distance between them is given by

 

d = √[(x₁ - x₂)² + (y₁ - y₂)²] 

 

You can now substitute (x₁,y₁) = (-1,0) and (x₂,y₂) = (2,-4) and compute d.

Answer 2

d² = (-1 -2)² + (0 - (-4))²

d² = (-3)² + 4²

d² = 9 + 16

d² = 25

d = 5