In the equation Y = MX + C, M is the slope, so you can rearrange your equation to read the same way.
3X + 4Y = 1
4Y = -3X + 1
Y = (-3X)/4 + 1/4
Now this is in the form Y = MX + C, where M = -3
So your slope is -3
I hope this helps
3X + 4Y = 1
4Y = -3X + 1
Y = (-3X)/4 + 1/4
Now this is in the form Y = MX + C, where M = -3
So your slope is -3
I hope this helps