Answer
A) $y=-3x+3$
B) $y=\frac{2}{3}x -4$
Work Step by Step
A) Since the line is parallel, the slope of -3 is the same (after converting the equation into $y=mx+b$ form, therefore, $y=-3x+b$. From there, plug in the coordinates given, and your "b" will be found, thus giving you the new equation.
B) Use the formula (change in y divided by the change in x) and plug in one of the coordinates (6,0 or 0,4) to find your equation.