Question

what are the slopes of
x=2
x=4

Answer 1

infinity or undefined. this could be different. is that all the question says?

Answer 2

it says determine whether the graphs of the equation are parallel lines
in the answer part is says the slope of x=2 is ?
slope of x=4 is ?

Answer 3

the lines are parallel lines because they both have an undefined slope. If you think back to that slope formula \[m = (y _{1}-y _{2})/(x _{1}-x _{2})\] points on the first line such as (2,0) and (2,1) result in something divided by 0, same thing for the other line.They both have infinite (something divided by 0 slopes) or some like to call it undefined slopes, so both lines are parallel

Answer 4

x=2 can be written as x = 0y + 2
So, whatever value you put for y, the value of x always comes out 2.
So, you have points like (2,0), (2,1), 2,-1) as solutions to this equation
Hence, x=2 is a line parallel to the y-axis and passing through the point (2,0) on the x-axis.

Similarly x=4 also is a line parallel to the y-axis but passing through the point (4,0) on the x-axis.

Since both are parallel to the y-axis, they r parallel to each other....

Hope this clears up things for you......