Can someone please answer my math problem

Someone please help me! I am having trouble with graphs (finding the slope and y-intercept). This is the one I am stuck on. I already know how to solve it, but it is suppose to be perpendicular with some other line. When I solved it, it was parallel with another line. Did anyone get the same coordinates that I did when solving for the x and y axes?

x-y=-1 (negative one)

Please use the formula y=xm+b to help you. I need to find:

the slope (x=)_____
and the y-intercept (b=)_____

Not that it really matters, but the equation is y=mx+b and the m is slope, b is y intercept..
the slope(m)= 1
y intercept(b)= 1

This is because you do:
x-y=-1 (add y to each side, so you can cancel it out on the left side)
+y +y

x=y-1 (add 1 on each side to cancel it out on the right side)
+1 +1

x+1=y (your new equation)

nothing is next to x, so it is 1
and b= the +1


I dont really get if you're asking for an equation that intersects (is perpendicular) with it or you just want the m and b..? So I'll do both:

This is just a random equation that it crosses (makes an x with) :
y=2x
there are lots more though

I can't help you.
I'm in a transition algebra class.