What is the slope of a line parallel to the line whose equation is 2x-3y=6?

A. 1/5

B. 2/3

C. 3/3

D. 4/3

2x-3y=6

3y=2x-6

y=2/3x-2

Slope = 2/3

Therefore B

B. 2/3

Step-by-step explanation:

Parallel lines have the same slope

We need to find the slope of the given line

2x-3y = 6

Solve for y

Subtract 2x from each side

2x-2x-3y = -2x+6

-3y = - 2x+6

Divide each side by - 3

-3y/-3 = - 2x/-3+6/-3

y = 2/3 x - 2

This is in slope intercept form (y = mx+b) where m is the slope and b is the y intercept

The slope is 2/3