Question

Find the distance between the following pairs of points $(8,3)$ and $(8,-7)$.

Answer 1

We know that the distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

Here, the given points are $(8,3)$ and $(8,-7)$, therefore,

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}=\sqrt{{(8-8)}^2+{(-7-3)}^2}=\sqrt{0^2+(-10{)}^2}=\sqrt{0+100}=\sqrt{{10}^2}=10$

Hence, the distance is $10$ units.