posted by Molly .
Let the line X-2Y=15 and the circle with equation X^2+Y^2=50 intersect at the points A and B.
Algebraically find the coordinates of A and B using the information given.
(2y+15)^2 + y^2=50
expand that out, solve for y. You may have to use the quadratic equation to find the two y solutions. Then put each back into either equation, and find the two x solutions.