Question 1210246
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The equation is a linear equation, so you only need to plot two points to draw the line.<br>
The other tutor shows one way to find two points by solving the given equation for y, then choosing two convenient values of x to find the corresponding y values, giving the two needed points.<br>
While that method is valid, it is more work than necessary.  There is no need to solve the equation for y; it is less work to simply choose "nice" values for the equation in its given form.<br>
Specifically, it is easy to choose x=0 and find the corresponding value of y, and to choose y=0 and find the corresponding value of x.  Note that that gives you the x- and y-intercepts of the graph, which might be of particular importance in a particular problem.<br>
x=0:
2(0)-3y=12
-3y=12
y=12/(-3)=-4
One point on the graph is (0,-4)<br>
y=0:
2x-3(0)=12
2x=12
x=6
Another point on the graph is (6,0)<br>
Plot those two points and draw the line containing them.<br>