# How do you find the slope given -2x+3y=9?

##### 1 Answer

To find the slope of a line, you must put the equation in the form of

where "m" represents the slope of the line.

To get to that form, you must solve for y in terms of x. Begin by isolating the y value on one side, here we add 2x to both sides.

Now that you have the y value all alone, you need to get rid of any coefficients, in this case, 3. You can choose to think of it as multiplying the ENTIRE equation by 1/3 or simply by dividing the ENTIRE equation by 3. Both do the exact same thing, its a personal preference whichever you use, just make sure what ever you do to one side you must do to the other.

So now we divide by three (or multiply by 1/3) and get:

We can see this equation is now in