SOLUTION: Find all points (x,y) where x-4y=0 and (x,y) is 3 units from (-3,2). I'm just completely lost on where to start. Thank you in advance for your help!

Algebra ->  Length-and-distance -> SOLUTION: Find all points (x,y) where x-4y=0 and (x,y) is 3 units from (-3,2). I'm just completely lost on where to start. Thank you in advance for your help!      Log On


   

Question 946722: Find all points (x,y) where x-4y=0 and (x,y) is 3 units from (-3,2).
I'm just completely lost on where to start.
Thank you in advance for your help!
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
The line and the point each are 3 units from a set of points (x,y).

The line is y=x%2F4.



system%28sqrt%280%2B%28y-x%2F4%29%5E2%29=3%2Csqrt%28%28x%2B3%29%5E2%2B%28y-2%29%5E2%29=3%29

system%28%28y-x%2F4%29%5E2=9%2C%28x%2B3%29%5E2%2B%28y-2%29%5E2=9%29
Two equal expressions for 9. Equating and simplifying will still contain a term of k*xy some some
known constant k.