Find the distance between the points. Round to the nearest hundredth, if necessary. (-6, 2), (7, -4)
A)2.24
B)6.08
C)14.32
D)13.15
E)13.6

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 $(7, -4)$, we get $\sqrt{(7 - (-6))^2 + (-4 - 2)^2} = \sqrt{(13)^2 + (-6)^2} = \sqrt{169 + 36} = \sqrt{205}$, which is approximately 14.32 when rounded to the nearest hundredth.

Find the Distance Between the Points