The given equation is 3x+2y=6
⇒y=−1.5x+3
Here x is the independent variable.
We assign any 4 values of x and obtain the corresponding values of y.
x=−6
⇒y=12,
x=−3
⇒y=7.5,
x=3
⇒y=−1.5
x=6
⇒y=−6.
The pairs of (x,y)=(−6,12),(−3,7.5),(3,−1.5) and (6,−6).
Now we plot them on a graph.
The line passes through (0,3) and m=−1.5.