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

Explanation:

Step1: Rewrite in slope - intercept form

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

Step2: Find the y - intercept point

The y - intercept is the point where $x = 0$. When $x = 0$, $y=3(0)+3=3$. So the point is $(0,3)$.

Step3: Use the slope to find another point

The slope $m = 3=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,3)$, if we move 1 unit to the right ($\Delta x = 1$), we move 3 units up ($\Delta y=3$). So another point is $(1,6)$.

Step4: Draw the line

Plot the points $(0,3)$ and $(1,6)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Graph the line passing through the points $(0,3)$ and $(1,6)$.