SOLUTION: Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$

Algebra ->  Coordinate-system -> SOLUTION: Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$      Log On


   

Question 1208819: Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$
Answer by timofer(104) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%5E2%2B%28y-7%29%5E2=25, and y=5x-28

and then %28x-2%29%5E2%2B%28%285x-28%29-7%29%5E2=25

%28x-2%29%5E2%2B%285x-35%29%5E2=25

x%5E2-4x%2B4%2B25x%5E2-2%2A5%2A35x%2B35%5E2=25

26x%5E2-4x-350x%2B4%2B35%5E2=25

26x%5E2-354x%2B1229=25

26x%5E2-354x%2B1204=0

13x%5E2-177x%2B602=0
Maybe that is factorable, and maybe not. You can use general quadratic formula solution to find x.


x=%28177%2B-+5%29%2F26
and see where that takes you.