Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create two perpendicular lines whose solution is as close to the origin as possible.
Hint
How can you algebraically verify that your lines are perpendicular? How can you graphically verify that your lines are perpendicular?
Answer
The closest solution to the origin that’s been found so far comes from the lines y = (3/2)x + 0 and 4x + 6y = 1 which has a solution at (1/13, 3/26).
Source: Robert Kaplinsky
I believe y=3/2x + 0 and 6x + 9y = 1 gets a little bit closer