What are the coordinates of the circumcenter of a triangle with vertices a(−3,−4), b(1,−4), and c(−3,0)?

The circumcenter is equal distance from all 3 verices.
Using distance formula, equate distance to A with distance to C:

The x terms cancel, Expand and solve for y:


Now do same thing for point A and B:

y terms cancel



Circumcenter is the point (-1,-2)

Just divide the x axis (the top) by 2 or multiply the y axis (the bottom) by 2