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Show full work so I can understand why I got this question wrong

Show full work so I can understand why I got this question wrong-example-1

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\begin{gathered} y+4x=-2\rightarrow y=-4x-2 \\ \text{The slope is the number that is multiplied by x, so} \\ m=-4 \\ \text{and y-intercept is the value of y when x=0} \\ y=-4\cdot0-2=-2 \end{gathered}

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