Line AB is the diameter of circle C. If the endpoints of the diameter are A(3, -4) and B(-2, 5), what are the coordinates of the center of the circle C?

I've forgotten how to do this, heh heh... help please?

The x and the y values of the midpoint (center) are the averages of the x and y values of A and B. The average x value of A and B is 1/2. The average y value is ___ .

Isn't there some distance formula...?

Yes. I just described it.

No problem, I can help you with that! To find the coordinates of the center of the circle C, you can use the midpoint formula since the diameter of a circle passes through its center.

The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, we have the endpoints A(3, -4) and B(-2, 5) of the diameter AB.

Using the midpoint formula, we can find the coordinates of the center of circle C as follows:

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

Therefore, the coordinates of the center of circle C are (1/2, 1/2).