How could they draw the line ?

[hablo111]

hey everyone in my lineair programming course in many exercises we had some constraints that have like coordinates the points (0,0) / (0,0) but in the solution i really don't understand how we really determine the slope for these lines to draw them

like in the exercise bellow for constraint number 4 as a solution we have the coordinates (0,0) / (0,0) but how did we determine the points (6,3) to draw the line of this constraint

 

[Dr.Peterson]

hey everyone in my lineair programming course in many exercises we had some constraints that have like coordinates the points (0,0) / (0,0) but in the solution i really don't understand how we really determine the slope for these lines to draw them

like in the exercise bellow for constraint number 4 as a solution we have the coordinates (0,0) / (0,0) but how did we determine the points (6,3) to draw the line of this constraint
View attachment 36824

The equation 3x - 6y = 0 is equivalent to y = x/2. Clearly (0, 0) satisfies this; so do, for example, (2, 1), (4, 2), and (6, 3). Any of those can be used to draw the line.

I'm not sure what you mean by "(0,0) / (0,0"; is that meant to be a division, or what?