Refer to the image below for the graph.
Work Step by Step
To graph the given line using the slope and y-intercept, perform the following steps: (1) Solve for the x and y intercepts. To find the x-intercept, set $y = 0$, and then solve for $x$: $x-y=3 x-0 = 3 \\x=3$ This means that the x-intercept is at $(3, 0)$. To find the y-intercept, set $x = 0$, and then solve for $y$: $x-y = 3 \\0-y=3 \\-y=3 \\y=-3$ This means that the -intercept is at $(0, -3)$. (2) Plot the intercepts, and then connect them using a line. (Please refer to the attached image in the answer part above for the graph.)