To graph the linear equation, follow the steps below.
Step 01: Find one point of the line.
To do it, choose a x-value and find its corresponding y-value.
Let's choose x = 0.
Substituting x in the equation to find y:
[tex]\begin{gathered} y=-\frac{1}{3}x+4 \\ y=-\frac{1}{3}*0+4 \\ y=0+4 \\ y=4 \end{gathered}[/tex]
First point: (0, 4).
Step 02: Find another point of the line.
Let's choose x = 3.
Substituting x in the equation to find y:
[tex]\begin{gathered} y=-\frac{1}{3}*3+4 \\ y=-\frac{1}{3}*3+4 \\ y=-\frac{3}{3}+4 \\ y=-1+4 \\ y=3 \end{gathered}[/tex]
Second point: (3, 3).
Step 03: Plot the two points and connect them to draw the graph.
The graph is shown below:
