I am stumped on the slope intercept form. 3x-4y = 12. I don't understand why the answer is 3/4x - 3. How does it become x?

Question

I am stumped on the slope intercept form.  3x-4y = 12.  I don't understand why the answer is 3/4x - 3.  How does it become x?

nnesha · Answer

you should keep the x 
slope intercept form is 
y=mx+b where m is slope and b is y-intercept

nnesha · Answer

you need to solve for y$$\huge\rm 3x-4y=12$$
move the `3x`to the right side and then -4

nnesha · Answer

ho would you cancel out the 3x from the left side ?

llroberts43 · Answer

3x - 4y = 12
3x - 3x -4y = -3x +12
-4y and then I don't know what do next.

nnesha · Answer

great! :=)

nnesha · Answer

now how would you cancel out the -4 from the left side ?

llroberts43 · Answer

4y/4?

nnesha · Answer

nice 
but don't forget it's negative so -4 :=)

llroberts43 · Answer

Yes I saw that but I had already hit post.  So I've cancelled out 4 but I still don't understand how the answer becomes 3/4x -3.  Where did the 12 go?

nnesha · Answer

$$\huge\rm y=\frac{ 3 x}{  4 }+\frac{ 12 }{ -4 }$$
12/-4 = ? you can divide it right!

llroberts43 · Answer

Oh....that would equal -3.  Right in front of me, thank you!!

nnesha · Answer

:=) my pleasure great job!