Question

find the exact distance between the two points. simplify your answer, if possible. do not use any decimals.

Explanation:

Step1: Identify the two points

The points are $(-9, -10)$ and $(-9, -2)$

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Substitute $x_1=-9, y_1=-10, x_2=-9, y_2=-2$:
$d=\sqrt{(-9-(-9))^2+(-2-(-10))^2}$

Step3: Simplify the expression

$d=\sqrt{(0)^2+(8)^2}=\sqrt{64}=8$

Answer:

8