Plotting $|x - y| \leq 1/4$ I'm trying to plot $|x - y| \leq 1/4$
I've reduced this to $|x - y| \leq 1/4$, and then deduced via plugging in points that there should be two lines, one with y-intercept 0.25 and another with y intercept -0.25. I'm a little bit lost at how to derive equations in terms of $y = mx + b$. I forget how to handle equations with the absolute value and inequality, and guidance would be most appreciated.

First plot x-y=0. The graph you are looking for is symmetric about this line. Now, plot x-y=.25 and y-x=.25 (Since abs(x-y) is same as abs(y-x)) Shade the region bounded by these two lines. It will be an infinite rectangle bisected by x-y=0.
To verify, use :
http://www.quickmath.com/webMathematica3/quickmath/graphs/inequalities/advanced.jsp
