Question

hi if anyone can, this would be a big help since I'm stuck on my hw and would loved to go to bed I need 3y-12x = 9 answered in slope intersept form

Answer 1

Answer:
`y=4x+3`

Explanation:

By definition the Slope-Intercept form of an equation of a line is:

`y=mx+b`

Where "m" is the slope of the lines and "b" is the y-intercept.

You have the following equation of the line given in the exercise:

`3y-12x = 9`

Then, in order to write it in Slope-Intercept form, you need to solve for the variable "y".

The steps are shown below:

1. You must apply the Addition property of Equality adding
`12x` to both sides of the equation:

`3y-12x+12x = 12x+9\\\\3y=12x+9`

2. Finally, you must apply the Division property of Equality dividing both sides of the equation by 3. Then, you get:

`(3y)/(3)=(12x+9)/(3)\\\\y=4x+3`