Answer:
For the first one, we see that from one point to another it rises one and goes to the left one. This means the slope is 1/-1, which is -1.
For the second one, the slope of the first equation is -1/4, and the slope of the second equation is 4/1, or 4. Since the lines are perpendicular in 2, the two lines will be opposite reciprocals of each other.