Question

Segment SW is the diameter of circle C. Point S is located at (6,-1) and point W is located at (10,-7). What are the coordinates of the center of this circle?

A. (8, -3)
B. (7, -5)
C. (9, -3)
D. (8, -4)

Answer 1

D. (8, -4)

Since SW is the diameter of the circle, the center of the circle should be right in the center of that line. You simply have to find the midpoint of the line

Midpoint formula:

[ (x1+x2)/2 , (y1+y2)/2 ]

After substituting numbers:

[ (6+10)/2 , (-1-7)/2 ]
[ 16/2 , -8/2 ]
=(8, -4)

~~hope this helps~~