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Write 12x + 4y= –36 in slope-intercept form. y= x− .

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$$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$$

Write 12x+4y=-36 in slope intercept form.

$$\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$$

Slope intercept form looks like so:-

y=mx+b

Right now the line's equation is written in standard form, ax+by=c.

First, subtract 12x on both sides:-

4y=-36-12x

Now divide by 4 on both sides:-

y=-9-3x

On further simplification,

switch -9 and -3x places (it's not mandatory)

y=-3x-9

That's our equation in slope intercept form.

Good luck.

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$$~~~~~12x+4y = -36\\\\\implies 3x +y = -9\\\\\implies y = -3x -9$$
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