Question

In the following exercises, graph by plotting points

$y=-3x$

Short answer

The graph of the equation is:

Step-by-step solution

Step 1. Given information

Equation to be plotted is $y=-3x$.................equation (1)

Step 2. To find three points whose coordinates are solution to the equation. 

When$x=0$

$$\begin{gathered} y=-3\times 0 \\ =0 \end{gathered}$$

when $x=1$

$$\begin{gathered} y=-3\times 1 \\ y=-3 \end{gathered}$$

when $x=-1$

$$\begin{gathered} y=-3(-1) \\ y=3 \end{gathered}$$

Now put three solutions in the table

x	y	(x,y)
0	0	(0,0)
-1	3	(-1,3)
1	-3	(1,-3)

Step 3. Plot these points in a rectangular coordinate system  

points(0,-3), (1,1) and (2,5) are plotted as

Step 4. Draw the line through three points and extend the line.  

The line is the graph of $y=-3x$