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).
