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You need to rearrange the equation so that it is in the form y=mx+b. This is the slope intercept equation for a line. In this form, 'm' is the slope.

So, for 2y+6x=1 you begin by bringing the '6x' to the other side of the equation. You do this by subtracting '6x' from both sides.

Once you do this you are left with:

2y = -6x + 1

The next step is to divide both sides by 2 in order to isolate the 'y'.

Now you have:

y = -3x + 0.5

-3 = m

0.5 = b

So your slope is -3.

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Q: What is the slope of 2y plus 6x equals 1?
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