Question

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

Answer 1

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,

$8.06\text{ units}$