Question

What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)? Then graph the circle.

Answer 1

find the midpoint

Answer 2

that will be your center

Answer 3

then find the distance between those points
that will be length of the diameter
than half it to get the length of the radius

Answer 4

midpoint is (0,1)?

Answer 5

yep

Answer 6

\[(x-h)^2+(y-k)^2=r^2\]
so you found (h,k)=(0,1)

Answer 7

you could use the distance formula as I said earlier
or you can use this formula
and plug in either point and solve for r