Question

what is the distance between the following points? choose 1 answer: a 12 b 13 c √36 d √97

Explanation:

Step1: Identify the coordinates

The two points have coordinates $(2,4)$ and $(6, - 5)$.

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, $x_1 = 2,y_1=4,x_2 = 6,y_2=-5$. Then $d=\sqrt{(6 - 2)^2+(-5 - 4)^2}=\sqrt{4^2+(-9)^2}=\sqrt{16 + 81}=\sqrt{97}$.

Answer:

D. $\sqrt{97}$