ANSWER:
STEP-BY-STEP EXPLANATION:
Since it passes through the origin, the equation has the following form:
[tex]y=mx[/tex]
where m is the slope, we replace:
[tex]y=\frac{2}{3}x[/tex]
To graph we give values of x to calculate points and then draw the line, like this:
[tex]\begin{gathered} y(-6)=\frac{2}{3}\cdot-6=-4\rightarrow(-6,-4) \\ y(-3)=\frac{2}{3}\cdot-3=-2\rightarrow(-3,-2) \\ y(0)=\frac{2}{3}\cdot0=0\rightarrow(0,0) \\ y(3)=\frac{2}{3}\cdot3=2\rightarrow(3,2) \\ y(6)=\frac{2}{3}\cdot6=4\rightarrow(6,4) \end{gathered}[/tex]
We graph:
