Find the distance between the pair of points. $( - 6,2 ) , ( - 4 , - 4 )$
A) $2 \sqrt { 10 }$
B) -10
C) $2 \sqrt { 11 }$
D) 10
E) -$2 \sqrt { 10 }$

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 $(-6, 2)$ and $(-4, -4)$, we get $\sqrt{(-4 + 6)^2 + (-4 - 2)^2} = \sqrt{2^2 + (-6)^2} = \sqrt{4 + 36} = \sqrt{40} = 2\sqrt{10}$.

Find the Distance Between the Pair of Points (−6,2),(−4,−4)( - 6,2 ) , ( - 4 , - 4 )(−6,2),(−4,−4)

Find the Distance Between the Pair of Points $( - 6,2 ) , ( - 4 , - 4 )$