Question

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

Answer 1

`y\text{ < }(8)/(3)x\text{ - 4}`

Step-by-step 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 <):

`\begin{gathered} y\text{ < }(-1)/(3)(-8x\text{ + 12)} \\ y\text{ < }(8)/(3)x\text{ - 4} \end{gathered}`

That is the inequality in slope-intercept or y intercept form.