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MATH / 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 orde…

Problem

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problem

Determine the coordinates of the point PP on the line y=−x+6y=-x+6 such that PP is equidistant from the points A(10,−10)A(10,-10) and O(0,0)O(0,0) (that is, so that PA=POPA=PO). Express your answer as an ordered pair (a,b)(a,b).
Plain-text mathematical notation (without MathML)
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).
Original LaTeX notation
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 $(a,b)$.

level

Level 4

type

Geometry

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Source and history

task_id
f17403a4-27b4-5cf1-9ca3-b70bfff0cc1b
task_key
geometry--test--f17403a4-27b4-5cf1-9ca3-b70bfff0cc1b
task_revision_id
1
config / split
geometry / test

Official source

initial import