Question 1079556
<pre><font size=4><b>

{{{drawing(400,2200/7,-2,12,-6,5,grid(1),
red(line(2,-4,6,0)),blue(line(6,0,9,3)),
red(line(2+.1,-4+.1,6+.1,0+.1)),blue(line(6+.1,0+.1,9+.1,3+.1)),
red(line(2-.1,-4-.1,6-.1,0-.1)),blue(line(6-.1,0-.1,9-.1,3-.1)),
red(line(2+.12,-4+.12,6+.1,0+.12)),blue(line(6+.12,0+.12,9+.12,3+.12)),
red(line(2-.12,-4-.12,6-.12,0-.12)),blue(line(6-.12,0-.12,9-.1,3-.12)),
circle(6,0,.13),
circle(2,-4,.1),circle(9,3,.1),locate(4.8,.8,"(6,0)"),
circle(2,-4,.05),circle(9,3,.05),locate(2,-4,"(2,-4)"),

locate(9,3,"(9,3)") )}}}

Notice that the line cuts right across the corners of the grid 
squares of the graph paper.

The upper (blue) part of the line [from (6,0) to (9,3) ]

cuts through the corners of 3 grid squares. 

and the lower (red) part of the line [from (2,-4) to (6,0) 

cuts through the corners of 4 grid squares.

So the blue part of the line is ¾ as long as the red part.

So one possible answer is (6,0).

But the answer could also be like the graph below

and the answer could be (5,-1).

{{{drawing(400,2200/7,-2,12,-6,5,grid(1),
red(line(2,-4,5,-1)),blue(line(5,-1,9,3)),
red(line(2+.1,-4+.1,5+.1,-1+.1)),blue(line(5+.1,-1+.1,9+.1,3+.1)),
red(line(2-.1,-4-.1,5-.1,-1-.1)),blue(line(5-.1,-1-.1,9-.1,3-.1)),
red(line(2+.12,-4+.12,5+.1,-1+.12)),blue(line(5+.12,-1+.12,9+.12,3+.12)),
red(line(2-.12,-4-.12,5-.12,-1-.12)),blue(line(5-.12,-1-.12,9-.1,3-.12)),
circle(5,-1,.13),
circle(2,-4,.1),circle(9,3,.1),locate(5,-1,"(5,-1)"),
circle(2,-4,.05),circle(9,3,.05),locate(2,-4,"(2,-4)"),

locate(9,3,"(9,3)") )}}}

So there are two possible answers (6,0), and (5,-1), depending on
whether the upper (blue) part of the line is ¾ as long as the 
lower (red) part of the line, or vice-versa.

Edwin</pre></b>