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Change from standard form to y intercept form 8x - 3y > 12

Sagot :

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.