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

Explanation:

Step1: Find the y - intercept

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

Step2: Find the x - intercept

Set $y = 0$. Then $0=-2x - 3$. Solving for $x$: $2x=-3$, so $x =-\frac{3}{2}=-1.5$. Plot the point $(-1.5,0)$.

Step3: Draw the line

Connect the points $(0,-3)$ and $(-1.5,0)$ with a straight line.

Answer:

Graph the line by plotting the y - intercept $(0,-3)$ and x - intercept $(-1.5,0)$ and connecting them.