Respuesta :

Hello!

To find the distance between the two given points, the distance formula is needed.

The distance formula is: d = [tex] \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} [/tex].

Before substituting, you need to assign the two points to [tex] (x_{1},y_{1}) [/tex] and [tex] (x_{2},y_{2}) [/tex].

[tex] d = \sqrt{(-2 -(-5))^{2}+(4-2)^{2}} [/tex]

[tex] d =\sqrt{(3)^{2}+(2)^{2}} [/tex]

[tex] d =\sqrt{9 + 4} [/tex]

[tex] d =\sqrt{13} [/tex]

Therefore, the distance between the two points is √13 units or about 3.61 units.