graph the line. x - y = 3

Explanation:

Step1: Rewrite in slope - intercept form

We rewrite $x - y=3$ as $y=x - 3$. The slope $m = 1$ and the y - intercept $b=-3$.

Step2: Find the y - intercept point

The y - intercept is the point where $x = 0$. Substituting $x = 0$ into $y=x - 3$, we get $y=-3$. So the point is $(0,-3)$.

Step3: Use the slope to find another point

The slope $m = 1=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,-3)$, if we move 1 unit to the right ($\Delta x = 1$), we move 1 unit up ($\Delta y = 1$). So another point is $(1,-2)$.

Step4: Draw the line

Plot the points $(0,-3)$ and $(1,-2)$ and draw a straight line passing through them.

Answer:

Graph a straight line passing through the points $(0,-3)$ and $(1,-2)$.