What is the slope of the graph of 2x - 6y = 9?

A. 1/3

B.-1/3

C. 3

D.-3

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

2x - 6y = 9

Slope is coefficient near x in y=kx+l

2x - 9 = 6y

1/3 x - 3/2 = y

k = 1/3