can u solve?

Question

in which quadrant does the image of 4,-7 lie after the translation that shifts x,y to x-6, y+3 here's another if the endpoints of the diameter of a circle are a5,2 and b-3,4, find the coordinates of the center of the circle

Answer 1

(4-6,-7+3) = (-2,-4)
This point lies on the third quadrant.

Midpoint of the endpoints on a diameter gives you the center.
((5-3)/2,(2+4)/2) = (1,3) = Center

Answer 2

(-2, -4)

((5-3)/2, (4+2)/2) = (1, 3)