[ y = 12x ] is an equation, not a 'problem'.
The graph of that equation is a straight line with a slope of 12 .
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The slope of -x plus 6y is equals to 12 is said to be (2 + 1/6x).
The equation for the slope of a line is y=mx+b
If you mean -x+y = 12 then y = x+12 and so the parallel line will have the same slope but with a different y intercept.
It is a straight line equation that can be rearranged into slope intercept form: -x+2y = 12 2y = x+12 y = 0.5x+6 which is now in slope intercept form
It has infinite slope.