Respuesta :

[tex]y = - \frac{4x}{9} + 3[/tex]

Move the expression to the left-hand side and change its sign

[tex]y + \frac{4x}{9} = 3[/tex]

Multiply both sides of the equation by 9

[tex]9y + 4x = 27[/tex]

Use the commutative property to reorder the terms

[tex] \underline{ \underline{4x + 9y-27 = 0}}[/tex]

Standard form of a line:-

  • Ax+By+C=0

[tex]\\ \rm\Rrightarrow y=\dfrac{-4x}{9}+3[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-4x+27}{9}[/tex]

[tex]\\ \rm\Rrightarrow 9y=-4x+27[/tex]

[tex]\\ \rm\Rrightarrow 4x+9y-27=0[/tex]

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