What is the slope of the line with equation -3x+6y=12

Note the slope intercept form: y = mx + b, in which m = slope

Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides

-3x (+3x) + 6y = (+3x) + 12

6y = 3x + 12

Fully isolate the y. Divide 6 from both sides (and to all terms)

(6y)/6 = (3x + 12)/6

y = (3x)/6 + (12)/6

Simplify

y = (1/2)x + 2

y = 0.5x + 2 is your equation.

The slope is direclty left of the x (or the m variable). In this case, it is 0.5

0.5 is your answer (or 1/2 if wanted in fraction form)

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step-by-step explanation: