One of the most common ways to find the slope is to put the problem in standard, slope-intercept form, which is y=mx+b. The easiest way to describe this process is to isolate y.
Here's how you do it for this problem:
[tex]3x+8y-1=0 \\ (3x+8y-1)+1=(0)+1 \\ 3x+8y=1 \\ (3x+8y)-3x=(1)-3x \\ 8y=-3x+1 \\ (8y)/8=(-3x)/8+(1)/8 \\ y= -\frac{3}{8}x+ \frac{1}{8} [/tex]
Since m is your slope, the answer would be -3/8.
Hope this helps!
