I've done similar questions in 3D, but can't figure out how to solve this 2D problem:
Give a two dimensional vector parametric equation for the line through the point $(0, -5)$ that is perpendicular to the line $\langle 5 + 5 t, 4 - t \rangle $
I started off by finding a vector perpendicular to <5, -1> and came up with <1, 5> I then filled in the equation: L(t) = (0 + 1t)i + (-5 + 5t)j but I must have made a mistake somewhere.