Question

which is the graph of $x - y = 1$?

Explanation:

Step1: Rewrite to slope-intercept form

Rearrange $x - y = 1$ to solve for $y$:
$y = x - 1$

Step2: Identify key line features

Slope $m=1$ (line rises right), y-intercept $(0, -1)$.

Step3: Verify with intercepts

x-intercept: set $y=0$, $x=1$ → point $(1, 0)$.

Answer:

The correct graph is the third one (rightmost graph, passing through $(0, -1)$ and $(1, 0)$ with a positive slope of 1).