Points M (-4.1), N (-2.2) and P (1.3) are given. Determine the coordinates of t.O if MN = PO

1) First, we find the coordinates MN, if the coordinates of the points M (-4; 1) and N (-2; 2) are known.
MN = (-4; 1) – (-2; 2) = (-4 – (-2); 1 – 2) = (-4 + 2; -1) = (-2; -1);
2) Since, MN = PO = (-2; -1), then we find the coordinates of the point O, if the coordinate of the point P (1; 3) is known.
PO = (-2; -1) = (1; 3) – (x; y);
(-2; -1) = (1; 3) – (x; y);
(x; y) = (1; 3) – (-2; -1) = (1 – (-2); 3 – (-1)) = (1 + 2; 3 + 1) = (3; 4 );
Hence, point O has coordinates m. O (3; 4).