Respuesta :

The distance between two points is:

d = √(([tex]x_{2}[/tex]-[tex]x_{1}[/tex])²+([tex]y_{2}[/tex]-[tex]y_{1}[/tex])²)

d = distance, ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = start coordinate, ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) = end coordinate

Given values:

([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (2, -9)

([tex]x_{2}[/tex], [tex]y_{2}[/tex]) = (-1, 4)

Plug in and solve for d:

d = √((-1-2)²+(4-(-9))²)

d = √(9+169)

d = 13.3