Respuesta :

The given equation is

[tex]4x-3y=21[/tex]

First, we subtract 4x from each side

[tex]\begin{gathered} 4x-4x-3y=21-4x \\ -3y=21-4x \end{gathered}[/tex]

Then, we divide the equation by -3

[tex]\begin{gathered} \frac{-3y}{-3}=\frac{21-4x}{-3} \\ y=-7+\frac{4x}{3} \end{gathered}[/tex]

Hence, the equation in slope-intercept form is

[tex]y=\frac{4x}{3}-7[/tex]

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