Find the distance between the pair of points. Give an exact answer.
-$( - 5 , - 1 )$ and $( 2 , - 2 )$
A) 48 units
B) $5 \sqrt { 2 }$ units
C) $48 \sqrt { 3 }$ units
D) 8 units

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Substituting the given points $(-5, -1)$ and $(2, -2)$ into the formula gives $\sqrt{(2 - (-5))^2 + (-2 - (-1))^2} = \sqrt{7^2 + (-1)^2} = \sqrt{49 + 1} = \sqrt{50} = 5\sqrt{2}$ units.

Find the Distance Between the Pair of Points (−5,−1)( - 5 , - 1 )(−5,−1)

Find the Distance Between the Pair of Points $( - 5 , - 1 )$