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.

We have: $|x-y| \leq \dfrac{1}{4} \iff -\dfrac{1}{4} \leq x-y \leq \dfrac{1}{4}\iff x-\dfrac{1}{4} \leq y \leq x+\dfrac{1}{4}$. Here is how you plot the solution region: First graph the line $y_1 = x-\dfrac{1}{4}$, and plot the line $y_2 = x+\dfrac{1}{4}$, and shade the space in between the two lines.
