graph the line.\n$x - y = - 3$

Explanation:

Step1: Rewrite in slope - intercept form

We rewrite $x - y=-3$ as $y=x + 3$. Here we isolate $y$ by subtracting $x$ from both sides and then multiplying by - 1.

Step2: Identify slope and y - intercept

For the equation $y=x + 3$, the slope $m = 1$ and the y - intercept $b=3$. The y - intercept is the point $(0,3)$.

Step3: Use slope to find another point

Starting from the y - intercept $(0,3)$, since the slope $m = 1=\frac{\text{rise}}{\text{run}}$, we move 1 unit up and 1 unit to the right to get the point $(1,4)$.

Step4: Draw the line

Plot the points $(0,3)$ and $(1,4)$ and draw a straight line passing through them.

Answer:

Graph a line passing through the points $(0,3)$ and $(1,4)$.