Find the distance between the following pairs | vedclass

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(B) The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula:$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$Given

Vedclass · Accepted Answer

$4$

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(B) The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula:$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$Given points are $(x_1, y_1) = (-5, 7)$ and $(x_2, y_2) = (-1, 3)$.Substituting the values into the formula:$d = \sqrt{(-1 - (-5))^2 + (3 - 7)^2}$$d = \sqrt{(-1 + 5)^2 + (-4)^2}$$d = \sqrt{(4)^2 + (-4)^2}$$d = \sqrt{16 + 16}$$d = \sqrt{32}$$d = \sqrt{16 	imes 2} = 4\sqrt{2}$ units.

Find the distance between the following pairs of points: $(-5, 7)$ and $(-1, 3)$. (in $\sqrt{2}$)

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