Verified Answer :

we have

\(2x+3y=-12\)

Isolate variable y

\(2x+3y=-12\)

Subtract \(2x\) both sides

\(3y=-2x-12\)

Divide by \(3\) both sides

\(y=-\frac{2}{3}x-4\)

the slope m is equal to

\(m=-\frac{2}{3}\)

therefore

the answer is the option B

\(-\frac{2}{3}\)

The slope of the line is represented by the equation 2x+3y= -12 and 2x+3y= -12 is \(\frac{-2}{3}\).

Given that,

2x + 3y = -12

Now here we isolated the variable y

2x + 3y = -12

Now subtract 2x from both sides

3y = -2x - 12

Now divide by 3 in both the sides.

\(y = \frac{-2}{3}x - 4\)

Now

The slope m should be \(\frac{-2}{3}\).

Therefore we can conclude that the slope of the line is represented by the equation 2x+3y= -12 and 2x+3y= -12 is \(\frac{-2}{3}\).

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