Answer
B(1,10)
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:
(3,-4)
M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$)
(2,3) = ($\frac{3+x2}{2}$, $\frac{-4+y2}{2}$)
2 =$\frac{3+x2}{2}$ , 3= $\frac{-4+y2}{2}$
x2 =4-3, y2 = 6 +4
x2 = 1, y2 = 10
Therefore the coordinates of B(1,10)