Question 437740
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Hi
Re: determining the coordinates to plot:
 1)Letting x = 0 and y = 0 to determine those ordered pairs is very common
    (as done in the following: for ex. finding (0,-2)and (-6,0)
OR
 2)One may 'plug-in' any value of x to determine corresponding y-value
Most'plug-in' an 'easy' x-value..may even be a fraction...if that results in an 'easy' y

 x + 3y = -6   Points (0,-2) and (-6,0) on this line (Green)
 2x - 4y = -12 Points (0,3) and (-6,0) on this line  Blue
Plot points, connect with their respective lines.
Point of intersection (-6,0): this ordered pair is the solution for this system
{{{drawing(300,300,  -10,10,-10,10,   grid(1),
circle(-6, 0,0.3),
graph( 300, 300, -10,10,-10,10,  0,(-1/3)x - 2, .5x + 3))}}}

x = 4 + y  OR  y = x-4
y = 3 + x  OR  y = x+3
{{{drawing(300,300,   -6, 6, -6, 6,   grid(1),
graph( 300, 300, -6, 6, -6, 6,0,x-4,x+3))}}}