Answer:
(a,b)=(3,-4)
Step-by-step explanation:
As you know, center (0,0) is the midpoint of the diameter
Formula for midpoint: midpoint=[tex]\frac{(x1+x2)}{2} ;\frac{y1+y2}{2}[/tex]
lets put (x1,y1)=(a,b) assuming the other end point
(0,0)=((a+-3)/2);(b+4)/2)
Then
For a: 0=(a+-3)/2
0=a=-3
a=3
For b: (b+4)/2=0
b+4=0
b=-4
Therefore (a,b)=(3,-4)
