Answer:
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