The slope is m=1/4.
Here's how to solve...
Isolate y for -48 = 2x-8y:
2x-8y = -48
Subtract 2x from both sides:
2x-8y-2x = -48-2x
-8y = -48-2x
Divide both sides by -8:
-8y/8 = -48-2x/8
y= 1/8(2x+48)
y=1/4x+6
Line equation form is y=mx+b, in which the slope is m.
m=1/4
Hope this helped! :)