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ANSWER
[tex]y\text{ < }\frac{8}{3}x\text{ - 4}[/tex]EXPLANATION
We have the inequality in standard form as:
8x - 3y > 12
To put it in y-intercept form or slope intercept form, we have to make y the subject of the formula.
That is:
8x - 3y > 12
-3y > 12 - 8x
Divide both sides by -3 (the sign changes to <):
[tex]\begin{gathered} y\text{ < }\frac{-1}{3}(-8x\text{ + 12)} \\ y\text{ < }\frac{8}{3}x\text{ - 4} \end{gathered}[/tex]That is the inequality in slope-intercept or y intercept form.
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