Final answer:
Using the midpoint formula, we can find the location of point C when B is the midpoint of segment AC.
Step-by-step explanation:
Given that point B is the midpoint of segment AC, we can use the midpoint formula to find the coordinates of point C. The midpoint formula states that the coordinates of the midpoint (B) are the average of the coordinates of the endpoints (A and C). So, the x-coordinate of B is the average of the x-coordinates of A and C, and the y-coordinate of B is the average of the y-coordinates of A and C.
Using the coordinates given in the question, we can set up the following equations:
(2 + xC) / 2 = -3
(-4 + yC) / 2 = 3
Solving these equations, we find that the x-coordinate of C is -8 and the y-coordinate of C is 10.