Damn my head hurts from this math problem........?

Question

Write equations of two lines that satisfy each description.
a. perpendicular and one is vertical
b. paralled and neither has a y intercept.

Answer 1

a) a vertical line is alway an x=n... i.e. x=5. A line perpendicular to that would have to be horizontal. horizontal are always y=n...i.e. y=5

b)for a line to not have a y-intercept, it must be vertical. that means you use the x=n. but this time, use two different ones.
i.e. x=4; x=10

Answer 2

a.
Think of what it is saying. If one is perpendicular, then you know it is an x = something. What is perpendicular to a vertical line? A horizontal line. Horizontal lines are y = something. It makes no difference which numbers you choose.

x = 3, y = 2

b.
The way that an equation doesn't have a y-intercept, is if it is vertical and not x = 0. Parallel means running the same direction, never touching. So, you have two x = something lines, and neither can be x = 0. The numbers you choose do not matter.

x = -3, x = 2

Answer 3

a. Since one is vertical ---> x = constant

The the other has to be y = constant if it is perpendicular

b. Parallel and no y intercept --> parallel to y axis so

x =10
x = 9

satisfy the requirment