What is the slope of 2x-3y=12?

1 Answer
Apr 16, 2016

2/3

Explanation:

Turn the standard form of this equation into the slope-intercept form: y = mx + b. Remember that m is the slope and b is the y-intercept. We are trying to find for m for this problem.

Bring 2x to the other side of the equal sign by subtracting it from both sides.
2x - 2x - 3y = 12 - 2x

-3y = 12 - 2x

Make sure that the coefficient of -3 gets out from y to have y remain isolated. To do so, divide -3 by all of the terms in the equation.
(-3y = 12 - 2x)/-3

y = -4 + 2/3x

Since m is always the coefficient with x, we have in this case that 2/3 is the coefficient with x. Therefore, the slope has to be 2/3.