Answer:
2:10
Step-by-step explanation:
multiply both numbers by the same number(ie. 2,3,4) and the rotio will still be the same
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14
An equation for the line of interest is ...
3x -y = 14
the answer is 
subtract 6x on both sides → 
divide both sides by -2y → 