Question

Find the distance between the points (4, 6) and (4, -7)

Answer 1

The distance between two points

$P_1=(x_1,y_1),P_2=(x_2,y_2)$

Is given by the following formula:

$d(P_1,P_2)=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

Using this formula with our points, we have

$\begin{gathered} d((4,6),(4,-7))=\sqrt[]{(4-4)^2+((-7)-6)^2}=\sqrt[]{0+(-13)^2} \\ d((4,6),(4,-7))=|-13|=13 \end{gathered}$

The distance between those two points is 13.