Final answer:
The given equation in slope-intercept form is y = 2x + 2/3, which represents the equation with the y variable isolated and clearly shows the slope and y-intercept.
Step-by-step explanation:
The question revolves around converting the given linear equation into slope-intercept form, which is traditionally written as y = mx + b, where m denotes the slope and b denotes the y-intercept. To find the slope-intercept form of the equation 2 - 3y + 6x = 0, one must isolate y on one side of the equation:
- 2 - 3y + 6x = 0
- -3y = -6x - 2
- y = 2x + 2/3
Hence, the slope-intercept form of the given equation is y = 2x + 2/3, which corresponds to choice b in the list provided.