Is there a way to find the slope of the line determined by the following equation, without having to graph it all out on paper? 3x=4y-2

Question

Is there a way to find the slope of the line determined by the following equation, without having to graph it all out on paper?  3x=4y-2

anonymous · Answer

3/4

anonymous · Answer

What formula did you use to get 3/4?

anonymous · Answer

Rewrite it as
Y=(3/4)x+(2/4)

anonymous · Answer

Y=mx+c
Where m is the gradient c is the y-axis intersect

anonymous · Answer

So basically you just isolate y instead of x?

anonymous · Answer

I still can't see how you got from 3x=4y-2 to Y=(3/4)x+(2/4)  ...

anonymous · Answer

I've tried just isolating Y and did not come up with your formula...

anonymous · Answer

Add 2 to both sides
3x+2=4y
Then dividie both sides by 4
(3/4)x+2/4=y
Rewrite as 
Y=(3/4)x+1/2