Question

Find the distance between the two points rounding to the nearest tenth (if necessary). (1,3) and (-8, -6)

Answer 1

The distance between two points P(x1,y1) and Q(x2,y2) is given by

`d(P,Q)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

In our case let P be the point (1,3) and Q be the point (-8.-6), then

`\begin{gathered} d(P,Q)=\sqrt[]{(-8-1)^2+(-6-3)^2} \\ =\sqrt[]{(-9)^2+(-9)^2} \\ =\sqrt[]{81+81} \\ =\sqrt[]{162} \\ =12.7 \end{gathered}`

Therefore the distance between those points are 12.7.