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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Write 12x+4y=-36 in slope intercept form.
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
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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