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6x+4y=-3. what is the slope of this

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\begin{gathered} \text{First, we need to isolate y} \\ 4y=-6x-3 \\ y=(-6x-3)/(4) \\ y=-(6x)/(4)-(3)/(4) \\ \text{Simplify fractions if possible} \\ y=-(3)/(2)x-(3)/(4) \\ \\ \text{The slope is -}(3)/(2),\text{ it is always the number next to x} \end{gathered}

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