Let's make our equation in the form of y = mx + b
2x – 6y = 9
Add 6y on both sides
2x = 6y + 9
Subtract 9 on both sides
6y = 2x - 9
Divide 6 on both sides
y = 1/3 - 3/2
Now, we have it in the form of y = mx + b
In y = mx + b, m is the slope and b is the y-intercept
That means in y = 1/3 - 3/2, the slope is A) 1/3.
Your answer is A) 1/3