Question

find the distance between (-8, 6) and (7, -2).
√5
√23
√15
17

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, $x_1=-8,y_1 = 6,x_2=7,y_2=-2$.

Step2: Substitute values

$d=\sqrt{(7-(-8))^2+((-2 - 6))^2}=\sqrt{(7 + 8)^2+(-8)^2}=\sqrt{15^2+64}$.

Step3: Calculate squares and sum

$\sqrt{15^2+64}=\sqrt{225 + 64}=\sqrt{289}$.

Step4: Find square - root

$\sqrt{289}=17$.

Answer:

17