Question

Which is the distance between points (0,3) to (5,-9) on the coordinate plane?

Answer 1

Hi !

To calculate a distance between two points A and B of a coordinate plan, we use this specific fomula : $\boxed{\boxed{AB=\sqrt{\left(x_B-x_A\right)^2+\left(y_B-y_A\right)^2}}}$

So lets say we have two points : A(0, 3) and B (5, -9)

$AB=\sqrt{\left(5-0\right)^2+\left(-9-3\right)^2}\\\\AB=\sqrt{5^2+(-12)^2}\\\\AB=\sqrt{25+144}\\\\AB=\sqrt{169}\\\\\boxed{AB=13}$

Answer 2

This would be:-

square root [ (5-0)^2 + (-9 -3)^2) ]

= square root (  25 + 144)

= sqrt 169

= 13 Answer