Find the distance between the following pairs | vedclass

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Question

(A) The distance 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}

Vedclass · Accepted Answer

$2\sqrt{2}$

Vedclass · Answer

(A) The distance 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 $(x_{1}, y_{1}) = (2, 3)$ and $(x_{2}, y_{2}) = (4, 1)$.Substituting these values into the formula:$d = \sqrt{(4-2)^{2} + (1-3)^{2}}$$d = \sqrt{(2)^{2} + (-2)^{2}}$$d = \sqrt{4 + 4}$$d = \sqrt{8}$$d = 2\sqrt{2}$ units.

Find the distance between the following pairs of points: $(2,3)$ and $(4,1)$.

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