Question 351440
To find the slope of the line you need to put this equation into slope-intercept form.  ({{{y=mx+b}}})
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To do that you just need to solve for y.
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{{{2x-6y=-12}}}   <--- Original
{{{-6y=-2x-12}}}   <--- Move the term 2x over to the right side by subtracting it from both sides.
{{{y=(2/6)x+2}}}   <--- Divide both sides by -6 to isolate y.
{{{y=(1/3)x+2}}}   <--- Simplify
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It is now in {{{y=mx+b}}} format.  In this equation the 'm' is your slope.  Therefore {{{1/3}}} is your slope.