Question

What is the distance between points (8,3) and (8,-6) on a coordinate plane?

Answer 1

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

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

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(8-8)^2+(-6-3)^2}}\\\\ \mathsf{d=\sqrt{(0)^2+(-9)^2}}\\\\ \mathsf{d=\sqrt{0+81}}\\\\ \mathsf{d=\sqrt{81}}\\\\ \underline{\mathsf{d=9}}$

The answer is 9 u.c.