Which of the following equations is the equation 2 - 3y + 6x = 0 written in slope-intercept form?

y = - 2x - 2/3

y = (1/2) x + 2

y = 2x + 2/3

We are asked to transform the given equation into slope intercept form. The given expression is 2-3y+6x=0. To do this, we need to remember the slope-intercept form is below:

y = mx + b where "m" represents the slope and "b" represents the y-intercept

The solution of the problem is shown below:

2 - 3y + 6x = 0, transpose - 3y to the opposite side such as:

2 + 6x = 3y, re-arranging the given we have:

3y = 6x + 2, divide both sides by 3 such as:

3y/3 = (6x + 2) / 3

y = 2x + 2/3 where m = 2 and b = 2/3

The answer is y = 2x + 2/3.