Question

I need help with my math

Answer 1

Given the equation:

`y=(2)/(3)x-3`

We will graph the equation using the intercepts

The X-intercept is the value of x when y = 0

so,

`\begin{gathered} y=0\rightarrow0=(2)/(3)x-3 \\ (2)/(3)x=3 \\ x=(9)/(2)=4.5 \end{gathered}`

The y-intercept is the value of y when x = 0

so,

`x=0\rightarrow y=-3`

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: