What is an equation of a line that is perpendiculauation is 2y=3x-10 and passes through -6,1?

There's a bit of a neat trick for doing these. You swap the x- and y-coefficients and negate one of them. You use the methods of translating functions to translate the answer to the point of interest. For example, you use (x -h) and (y -k) in place of (x, y) when you want the line to go through (h, k).

3(y -1) = -2(x +6)