graph the line.\ny = - 3x - 2

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-3x - 2$, when $x = 0$, $y=-2$. So the y - intercept is the point $(0,-2)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-3x - 2$. Solving for $x$: $3x=-2$, so $x=-\frac{2}{3}$. The x - intercept is the point $(-\frac{2}{3},0)$.

Step3: Plot the points and draw the line

Plot the points $(0,-2)$ and $(-\frac{2}{3},0)$ on the coordinate plane and draw a straight line through them.

Answer:

Plot the points $(0,-2)$ and $(-\frac{2}{3},0)$ and draw a line through them.