Question

what is the distance between (-6,4) and (-8,6)? choose 1 answer: a 2 b 3 c √4 d √8

Explanation:

Step1: Recall 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, $x_1=-6,y_1 = 4,x_2=-8,y_2 = 6$.

Step2: Substitute values

$d=\sqrt{(-8-(-6))^2+(6 - 4)^2}=\sqrt{(-8 + 6)^2+(2)^2}=\sqrt{(-2)^2+2^2}$.

Step3: Calculate squares and sum

$\sqrt{(-2)^2+2^2}=\sqrt{4 + 4}=\sqrt{8}$.

Answer:

D. $\sqrt{8}$