4x-7y=-2 slope intercept form
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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:y = \dfrac{4}{7} x + \dfrac{2}{7}[/tex]
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[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \sf \dashrightarrow \: 4x - 7y = - 2[/tex]
[tex]\qquad \sf \dashrightarrow \: 4x + 2 = 7y[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{4}{7} x + \dfrac{2}{7} [/tex]
[tex] \textsf{That's the equation in slope intercept form, where } [/tex]