Need to put in function form. Y =mX + c
6X + 8Y = 12
8Y = - 6X + 12
Y = - 3/4X + 3/2
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read off function
m = - 3/4
---------------------slope
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The slope is negative 2/3.
q2
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.
12
The slope of -x plus 6y is equals to 12 is said to be (2 + 1/6x).