Q34. - Algebra 1

Question

Graph each equation.

$y=-2x$

Step-by-Step Solution

Answer

The graph of the equation $y=-2x$ is:

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

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 = − 2 x .

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: