Answer
B(4-a,6-b)
Work Step by Step
Points A and B have symmetry with respect to point C(2, 3).
To find the coordinates of B if A is the point:
(a,b)
M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$)
(2,3) = ($\frac{a+x2}{2}$, $\frac{b+y2}{2}$)
2 =$\frac{a+x2}{2}$ , 3= $\frac{b+y2}{2}$
x2 =4-a, y2 = 6 -b
Therefore the coordinates of B(4-a,6-b)
