Use the distance formula to find the distance between the pair of points.
-$( 7,7 )$ and $( 5 , - 4 )$
A) $5 \sqrt { 5 }$
B) 9
C) 117
D) $117 \sqrt { 13 }$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Plugging in the given points $(7,7)$ and $(5,-4)$, we get $\sqrt{(5-7)^2 + (-4-7)^2} = \sqrt{(-2)^2 + (-11)^2} = \sqrt{4 + 121} = \sqrt{125} = 5\sqrt{5}$.

Use the Distance Formula to Find the Distance Between the Pair