What is the distance from (-2, 4) to (0,-6)?

1 Answer
radee · George C.
Dec 11, 2017

#d = 2 sqrt26# or
#d ~~ 10.20#

Explanation:

To get the distance from point A to point B, you can use the formula:
#d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)#

So let us assign:
Point A: #(-2, 4)#
Point B: #(0, -6)#

In this case, if we use the formula,
#d = sqrt((0 - (-2))^2 + ((-6) - 4)^2)#
#d = sqrt((2)^2 + (-10)^2)#
#d = sqrt(4 + 100)#
#d = sqrt(104)#
#d = sqrt(4 * 26)#
#d = 2 sqrt26#
#d ~~ 10.20#

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