Determine the coordinates of the point $p$ on the line $y=-x+6$ such that $p$ is equidistant from the points $a(10,-10)$ and $o(0,0)$ (that is, so that $pa=po$). express your answer as an ordered pair $(a, b)$.

P=(3,3)

Step-by-step explanation:

We need to find a point  P in the line such that where

Observe that the coordinates of P are because P is in the line.

Then,

We reeplace  the value of x in the coordinates of P and obtain the point

where is the gragh

step-by-step explanation: