Where P is (-2,6), R is (-10,4) and segment RT is a diameter of circle P, find the coordinates of T.

Thank you so much, just wanted to check my answer, an explanation of your work would be very helpful!

(6, 8)

RT is the diameter so passes from R, through P, to T. The distance along X from R to P will be equal to the distance along X from P to T. Same thing along Y.

Distance along X axis from R to P is +8.
Distance along Y axis from R to P is +2.

So, distance along X from P to T is +8.
Distance along Y from P to T is +2.

So T = (Xp + 8, Yp + 2) = (-2 + 8, 6 + 2) = (6, 8)