Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

2x-12y=12

Answer 1

`y=(1)/(6)x-1`

Explanation:

The slope-intercept form is y=mx+b, where m is the slope of the line and b is the y-intercept.

For this problem, the equation can be manipulated into the desired form:

`2x-12y=12\\2(x-6y)=12\\(2(x-6y))/(2)=(12)/(2)\\x-6y=6\\(x-6y)+6y=(6)+6y\\x=6+6y\\x=6(1+y)\\((1)/(6))x=(6(1+y))/(6)\\(1)/(6)x=1+y\\((1)/(6)x)-1=(1+y)-1\\y=(1)/(6)x-1`