Question

Find the distance between (5,-6) and (5,-2).

Answer 1

The distance between two points in
`\mathbb{R}^2:`
`A(x_1,y_1)` and
`B(x_1,y_1)` is defined as,

`AB=√((x_2-x_1)^2+(y_2-y_1)^2)`.

In this case we have
`A(5,6)` and
`B(5,-2)` this yields

`AB=√((5-5)^2+(-2-6)^2)=√(8^2)=\boxed{8}`.

The distance points is 8 units.

Hope this helps.