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The equation -3y = 15 -4x written in slope intercept form is

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\bf -3y=15-4x\implies -3y=-4x+15\implies y=\cfrac{-4x+15}{-3} \\\\\\ y=\cfrac{-4x}{-3}+\cfrac{15}{-3}\implies y=\cfrac{4}{3}x-5~\hfill \impliedby ~\hfill \begin{array}ll \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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