12y = 8x + 29 write in slope intercept from and show all your work plz help!

2/3x + 29/12

Step-by-step explanation:

P.S Brace yourself cause this is a lot lol :D

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

First, you divide each term by 12 and simplify:

Divide each term in 12y = 8x + 29 by 12:

12y/12 = 8x/12 + 29/12

Cancel the common factor of 12:

You do this by dividing 12y/12 leaving you just with y = 8x/12 + 29/12

Then you cancel the common factor of 8 and 12:

You do this by factoring 4 out of 8x:

y = 4 (2x)/12 + 29/12

Then you cancel even more common factors:

Factor 4 out of 12:

y = 4 (2)/ 4 (3) + 29/12

Then you cancel the common factor in that dividion (which is 4) Leaving you with 2x/3 + 29/12

Finally, you rewrite the expression:

y = 2/3x + 29/12

step-by-step explanation: