In order to find the slope, we must first convert the general function into standard linear form, which is y=mx+b. In order to do this, subtract 8y from both sides to get 6x-8y=10. Then, subtract 6x from both sides to get -8y=-6x+10. Now we must get y by itself, so we divide both sides by -8 to get y=3/4x-1.25.
Now, from the standard linear form, we can derive that the slope is 3/4.