If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 4 and passes through point (1, 2).

part a: what is the equation of the path?

part b: does the ship pass through point (7, 24)?

part c: a second ship follows a straight line, with the equation x + 4y − 20 = 0. are these two ships sailing perpendicular to each other? justify your answer.