Question

what is the distance between the following points? choose 1 answer: a 6 b 8 c √72 d √79

Explanation:

Step1: Identify the coordinates

Let the first - point be $(2, - 3)$ and the second - point be $(8,-9)$.

Step2: Use the 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, $x_1 = 2,y_1=-3,x_2 = 8,y_2=-9$.
\[

$$\begin{align*} d&=\sqrt{(8 - 2)^2+(-9+3)^2}\\ &=\sqrt{6^2+(-6)^2}\\ &=\sqrt{36 + 36}\\ &=\sqrt{72} \end{align*}$$

\]

Answer:

C. $\sqrt{72}$