Question

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

Explanation:

Step1: Identify the points

The two points are $(2, - 3)$ and $(8,-9)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1 = 2,y_1=-3,x_2 = 8,y_2=-9$. Then $d=\sqrt{(8 - 2)^2+(-9+3)^2}$.

Step3: Calculate the squares

$(8 - 2)^2=6^2 = 36$ and $(-9 + 3)^2=(-6)^2=36$. So $d=\sqrt{36+36}$.

Step4: Simplify the result

$d=\sqrt{72}$.

Answer:

C. $\sqrt{72}$