Question

Find the distance between the points given.

(0, -6) and (9, 6)

Answer 1

The distance between the two points is .


The distance formula is:

`distance=\sqrt{(x_2-x_1)^(2)+(y_2-y_1)^(2)}`
where the two points given are (x₂, y₁) and (x₂, y₂).

Plug the points (0, -6) and (9, 6) into the equation:

`distance=\sqrt{(9-0)^(2)+[6-(-6)]^(2)}\\\\distance=\sqrt{(9)^(2)+(0)^(2)}\\\\distance=√(81+0)=√(81)\\\\\\distance=9`