Question

find the distance between point e and point f,

Explanation:

Step1: Identify coordinates of points

Point $E: (-6, 2)$, Point $F: (-7, -3)$

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.
Substitute values:

$$ d=\sqrt{(-7-(-6))^2+(-3-2)^2} $$

Step3: Simplify the expression

$$ d=\sqrt{(-1)^2+(-5)^2}=\sqrt{1+25}=\sqrt{26} $$

Answer:

$\sqrt{26}$ (or approximately 5.10 if a decimal is needed)