15. what is the equation of a circle with diameter line ab that has endpoints a(0, 0) and b(8, 6)? a.(x - 4)2 + (y - 3)2 = 5 b.(x - 3)2 + (y - 4)2 = 5 c.(x - 4)2 + (y - 3)2 = 25 d.(x - 3)2 + (y - 4)2 = 25

Given that end points of the diameter are A(0, 0) and B(8, 6).

Center is always at the middle of the diameter so we can use mid point formula to find the coordinate of center.

We know that circle is given by formula

having center at (h,k)

we found center at (4,3) so that means h=4, k=3

plug both into above formula

...(i)

plug the given point (0,0) into above equation

plug value of r^2=25 into equation (i)

Hence choice C. is the final answer .

for future students the answer is b

hope i

-lavira: )