What is the distance between the points (2,10) and (-4,2) in the xy-plane?
A)6
B)8
C)10
D)14
E)18

Name: What is the distance between the points (2,10) and (-4,2) in the xy-plane? A)6 B)8 C)10 D)14 E)18
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Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in the xy-plane is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. For the points (2,10) and (-4,2), this distance is $\sqrt{(-4 - 2)^2 + (2 - 10)^2} = \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10$.

What Is the Distance Between the Points (2,10) and (-4,2)