First, it's good to know that lines that are parallel have the same gradient (slope) but can have different y-intercepts.
So, you can disregard options B and D, as their gradient is -1/3.
To determine your answer, you just need to substitute your given coordinates into equations A and C:
A: y=3x-4
y=3(2)-4
-5≠6-4
So the answer is not A, as the equation is not applicable to your coordinates.
C: y=3x-11
y=3(2)-11
y=6-11
-5=6-11
So your answer is C, as the coordinates will be located somewhere on that line.
Extra information:
For perpendicular lines, the gradients of the two lines will always multiply to give you -1. So to find a line perpendicular to another, you can do -1/m1 (where m1 is the gradient of the first line).
