graph the line. \ny = -3x - 1

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=-1$. This gives the point $(0, -1)$.

Step2: Use slope to find second point

Slope $m=-3=\frac{-3}{1}$. From $(0, -1)$, move 1 right, 3 down to get $(1, -4)$.

Step3: Plot and connect points

Mark $(0, -1)$ and $(1, -4)$, then draw a straight line through them extending across the grid.

Answer:

The line $y=-3x-1$ is graphed by plotting the y-intercept $(0, -1)$, using the slope to find a second point $(1, -4)$, and drawing a straight line through these points.