Question 240109
Facts:
1.  Parallel lines share the same slopes.
2.  The Slope-Intercept Form of a Line is: {{{y=mx+b}}} where m=slope
.
Steps:
a. Turn your equation to the Slope-Intercept Form
b. The value you get as a coefficient of x is your slope and by definition, it is also the slope of a parallel line.
.
{{{4x-8y=1}}}
{{{-8y=4x+1}}}
{{{y=(4/-8)x+(1/8)}}}
{{{y=-(1/2)x+(1/8)}}}
.
Your slope is: {{{-(1/2)}}}