You first should isolate the "y" in the equation.
3x - 2y = 6 Subtract 3x on both sides
3x - 3x - 2y = 6 - 3x
-2y = 6 - 3x Divide -2 on both sides to get "y" by itself


This equation is:
y = mx + b
"m" being the slope, "b" being the y-intercept (when x = 0)
The y-intercept is -3 in the equation. So you can eliminate choices A and C.
You can plug in any of the numbers of x(-2 , -1 , 0, 1, 2) into this equation, to find it's y value.
You can plug in 1 for x:
y = -3 + 
y = -3 + 
y = -3 +
Make the denominators the same

Your answer is B