-3
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To get the slope of this equation, re-write it in y=mx + b form, where m=slope and b=y-intercept.
3x - y = 6
-y = -3x + 6
y = 3x -6
So m =slope = coefficient in front of x = 3
-3
The line y = 6 is horizontal and has a slope of zero, as does any line that is parallel to it.
y--6 = -3(x-4) y+6 = -3x+12 y = -3x+12-6 y = -3x+6
If you mean: 3x-2y = 6 then y = 1.5x-3 whereas the slope is 1.5 and the y intercept is -3
If you mean: -3x+9y = -6 then it is y = 1/3x-2/3