Answer:
The given function is
[tex]3y=-12+3x[/tex]
There's no graph. But we can find the right one.
To graph a linear equation, we just need to find two points only, the y-intercept point and the x-intercept point.
Y-Intercept: For [tex]x=0[/tex], let's find [tex]y[/tex]
[tex]3y=-12+3x\\3y=-12+3(0)\\3y=-12\\y=-\frac{12}{3}\\ y=-4[/tex]
That means the y-intercept is at [tex](0,-4)[/tex].
X-Intercept: For [tex]y=0[/tex], let's find [tex]y[/tex]
[tex]3y=-12+3x\\3(0)=-12+3x\\0=-12+3x\\12=3x\\x=\frac{12}{3}\\ x=4[/tex]
The x-intercept is at [tex](4,0)[/tex]
The next step is to graph both coordinates and draw line that intercept them, as the image attached shows, observe the axis interception points.
So, you must have a line like the one we show in the image.
