graph the line.\ny = - 2x

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y=-2x$, $b = 0$. So the line passes through the point $(0,0)$.

Step2: Find another point using the slope

The slope $m=-2=\frac{\Delta y}{\Delta x}$. Starting from the point $(0,0)$, if we let $\Delta x = 1$, then $\Delta y=-2$. So another point on the line is $(1,-2)$.

Step3: Draw the line

Plot the points $(0,0)$ and $(1, - 2)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Graph a straight line passing through the points $(0,0)$ and $(1,-2)$.