Question

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

A.1/3


B.-1/3


C.3


D.-3

Answer 1

2x – 6y = 9
Slope is coefficient near x in y=kx+l
2x – 9 = 6y
1/3 x – 3/2 = y
k = 1/3

Answer 2

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