The equation you offer represents a line in the y = mx + b format where m is the slope of the line and b is the y-intercept. Since the coefficient of x in this case is understood to be 1, the slope (m) = -1.
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7x is still the slope, no matter what x equals.
It equals the slope of the line y = -x. That's a pretty darn strong hint right there is what that is.
The slope is 1.
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The slope of -x plus 6y is equals to 12 is said to be (2 + 1/6x).