Given the equation:
[tex]y=\frac{2}{3}x-3[/tex]
We will graph the equation using the intercepts
The X-intercept is the value of x when y = 0
so,
[tex]\begin{gathered} y=0\rightarrow0=\frac{2}{3}x-3 \\ \frac{2}{3}x=3 \\ x=\frac{9}{2}=4.5 \end{gathered}[/tex]
The y-intercept is the value of y when x = 0
so,
[tex]x=0\rightarrow y=-3[/tex]
So, the graph of the line passes through the points (0, -3) and (4.5, 0)
The graph of the equation is as shown in the following picture:
The correct option is:
