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Calculate the distance between the points K = (-5, -1) and J= (2, -5) in the coordinate plane.Round your answer to the nearest hundredth.

Calculate the distance between the points K = (-5, -1) and J= (2, -5) in the coordinate-example-1
User Mike Makuch
by
2.3k points

1 Answer

8 votes
8 votes

To find the distance between the points (-5, -1) and (2, -5):

Using the distance formula,


\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}_{}_{}} \\ =\sqrt[]{(2-(-5))^2_{}+(-5-(-1))^2} \\ =\sqrt[]{(2+5)^2_{}+(-5+1)^2} \\ =\sqrt[]{(7)^2_{}+(-4)^2} \\ =\sqrt[]{49+16} \\ =\sqrt[]{65} \\ \approx8.06\text{ units} \end{gathered}

Hence, the distance is,


8.06\text{ units}

User Brettish
by
3.0k points
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