I think you meant -4x + 9y = -7 now follow my steps
9y = 4x -7
y = 4/9x - 7/9 4/9 is the slope. for the parallel line, substitute the coordinates into the equation to find b
2 = 4/9(-1) + b
2 + 4/9 = b
22/9 = b
there fore the equation is y=4/9x + 22/9