Answer:
So the coordinates are
Step-by-step explanation:
For this case we assume that the line is given by this formula
We know that the general equation for a circle is given by:
Since the circle for this case is centered at the origin then h,k =0 and we have this:
(1)
For this case we can replace the formula for y from the line into equation (1) and we got:
We know from algebra that if we use this concept we got:
We can subtract 64 on both sides and we got:
Now we can divide both sides by 2 and we got:
And we can use the quadratic formula to solve this:
For this case and if we replace we got:
And we got
Now we just need to replace into the original equation for the line and we get the y coordinates like this:
So the coordinates are