The graphs of the two equations differ from each other because they have different y intercepts.
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
The first equation is given by:
2x + 3y = 12
3y = -2x + 12
y = (-2/3)x + 12 (1)
Hence the first equation has a slope of -2/3 and y intercept of 12.
The second equation is given by:
2x + 3y = 6
3y = -2x + 6
y = (-2/3)x + 6 (2)
Hence the second equation has a slope of -2/3 and y intercept of 6.
The graphs of the two equations differ from each other because they have different y intercepts.
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