Write the equation 2x - 3y = 6 in slope-intercept form.

A. y = 3/2x + 3

B. y = 2/3x + 3

C. y = 2/3x - 2

2x - 3y = 6

- 2x - 2x

-3y = - 2x + 6

-3 - 3

y = ²/₃x - 2

The answer is C.

The general equation of the slope intercept form is y = mx + b. The first step is to add the whole equation by 3y then subtract by 6 and then divide both sides by 3. Hence, the slope intercept form of the equation 2x - 3y = 6 is equal to C. y = 2/3x - 2