What is the slope of 3x+4y = - 12?

We have to isolate y in order to find the slope; namely, solve for y in terms of x. Thus, we will subtract 3x by both sides. We have 4y = - 3x - 12. Now, we have to divide by 4 to get y isolated. This gives us y = (-3/4) x - 3. The term in front of the x term in a linear equation is the slope. Thus, m = - 3/4.

3x+4y=-12

-4y=-3x-12 (/-4 / / - 4 / / - 4/)

Y = (3/4) x+3

Now you know that you're slope is 3/4 and the y-intercept is 3, or (0,3)