Question

Point E is located at (-2, 2) and
point F is located at (4, -6). What
is the distance between points E
and F?
(1 point)
OOO​

Answer 1

Answer:

10 units.

Step-by-step explanation:

Given points are E(-2,2) and F(4,-6).

We need to find the distance between E(-2,2) and F(4,-6).

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between point E and F is

$D=\sqrt{(4-(-2))^2+(-6-(2))^2}$

$D=\sqrt{(4+2)^2+(-6-2)^2}$

$D=\sqrt{(6)^2+(-8)^2}$

On further simplification we get

$D=\sqrt{36+64}$

$D=\sqrt{100}$

$D=10$

Therefore, the distance between points E and F is 10 units.