Question

quiz 1
google classroom microsoft teams
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 $d$ 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

$d=\sqrt{4 + 4}=\sqrt{8}$.

Answer:

D. $\sqrt{8}$