Question

Graph each equation.

$y=-2x$

Short answer

The graph of the equation $y=-2x$is:

Step-by-step solution

Step 1. Find the two points that satisfies the equation y=−2x.

Substitute 0 for x and find the value of y.

$$\begin{gathered} y=-2x \\ =-2\left(0\right) \\ =0 \end{gathered}$$

Therefore, one of the point that satisfies the equation$y=-2x$ is$\left(0,0\right)$

Substitute$-1$ for x and find the value of y.

$$\begin{gathered} y=-2x \\ =-2\left(-1\right) \\ =2 \end{gathered}$$

Therefore, the other point that satisfies the equation$y=-2x$ is$\left(-1,2\right)$

Step 2. Draw the graph of the equation y=−2x.

Draw the graph of the equation$y=-2x$ by using the information that the graph of the equation$y=-2x$ is a line passing through the points$\left(0,0\right)$ and $\left(-1,2\right)$.

Therefore, the graph of the equation$y=-2x$ is: