Question

find the distance between point e and point f.

Explanation:

Step1: Identify coordinates

Let point $E=(-7,2)$ and point $F = (-7,-2)$.

Step2: Use distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-7,y_1 = 2,x_2=-7,y_2=-2$. Substituting into the formula:
\[

$$\begin{align*} d&=\sqrt{(-7-(-7))^2+(-2 - 2)^2}\\ &=\sqrt{(0)^2+(-4)^2}\\ &=\sqrt{0 + 16}\\ &=\sqrt{16}\\ &=4 \end{align*}$$

\]

Answer:

4