Are the lines 2x+5y=1 and y=5/2x+4 parallel,perpendicular, neither or the same line?

First we convert the first equation into a linear equation.
A linear equation is y=mx+b, where m is slope, and b is the y intercept.
We start by subtracting 2x from both sides, so now it's 5y=-2x+1.
Then we divide both sides by 5, so it's y=-2x/5+1/5.
(I put the x after the -2 because you multiply then divide)
The second equation is already in linear notation.
So our two slopes are -2/5 and 5/2.
For two lines to be parallel they must have the same slope, so they're not parallel.
For two lines to be perpendicular, they must have the same, slopes BUT one is negative, so they're not perpendicular.
So the answer is neither.

just leave the variable "y" alone and look at the coefficients of x's. if they are same, then they are parallel to each other.

They are perpendicular, because slope1=1/-slope2.

parallel because when we graph it never met at any point and they both have different lines. hope it will help u:~)