Question

find the distance between the points (-6, -5) and (-7, 0). write your answer as a whole number or a fully simplified radical expression. do not round. units save answer

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, $x_1=-6,y_1 = - 5,x_2=-7,y_2 = 0$.

Step2: Substitute values

$d=\sqrt{(-7-(-6))^2+(0 - (-5))^2}=\sqrt{(-7 + 6)^2+(0 + 5)^2}$.

Step3: Simplify expressions inside square - root

$d=\sqrt{(-1)^2+5^2}=\sqrt{1 + 25}$.

Step4: Calculate final result

$d=\sqrt{26}$ units.

Answer:

$\sqrt{26}$ units