Assuming that's -3x + 17y = -9...
-3x + 17 y = -9
17 y = 3x - 9
y = (3/17)x - 9/17
slope = 3/17
point = (-9, 19)
point-slope form:
y - y1 = m ( x - x1 )
y - 19 = (3/17) ( x - -9 )
y - 19 = (3/17) ( x + 9 )
y - 19 = (3/17)x + 27/17
y = (3/17)x + 27/17 + 323/17
y = (3/17)x + 350/17