Respuesta :

[tex]\begin{gathered} \text{The slope-intercept form is;} \\ y\text{ = -}\frac{1}{2}x\text{ + 4} \end{gathered}[/tex]

Here, we want to write the given equation in the slope-intercept form

Mathematically, we have the general form of the slope-intercept form as follows;

[tex]y\text{ = mx + b}[/tex]

where m represents the slope and b represents the y-intercept

So in clearer terms, all we need do is to isolate y which is same as making y the subject of the formula

We have this as;

[tex]\begin{gathered} 8y\text{ = -4x+32} \\ \text{divide through by 8} \\ \frac{8y}{8}\text{ = -}\frac{4x}{8}+\text{ }\frac{32}{8} \\ \\ y\text{ = -}\frac{1}{2}x\text{ + 4} \end{gathered}[/tex]

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