Find the distance between the points (3, -1) and (4, 6).

Question

Find the distance between the points (3, -1) and (4, 6).

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    0
    2021-09-11T08:15:35+00:00

    distance formula   so it is \sqrt[]{50}

    0
    2021-09-11T08:15:44+00:00

    \bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[4-3]^2+[6-(-1)]^2}\implies d=\sqrt{(4-3)^2+(6+1)^2} \\\\\\ d=\sqrt{50}\implies d\approx 7.07

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