posted by john .
The point (-3,4) is on a circle with its center at the origin. Which of the following points must also be on the circle?
Well, the origin must mean that the coordinates are (0,0), so (-3,4) and (0,-4) are also points on the the circle.
None of your "following points" are showing up
Point with integer values on the circle are
(5,0), (-5,0), (0, 5) , (0, -5)
(3,4) ,(-3,4) , (3, -4), and (-3,-4)
Jodie's point of (0,-4) does not lie on the circle
the equation would be
x^2 + y^2 = 25
so sub in your given points to see if they satisfy that equation.
If they do, they lie on the circle.