Question 157470
Put your line into slope-intercept form {{{y=m*x+b}}}.
{{{4x-2y=5}}}
{{{2y=4x+5}}}
{{{y=2x+5/2}}}
The slope of that line is {{{m[1]=2}}}.
Parallel lines have identical slopes.
{{{m[1]=m[2]=2}}}
You also know that y=0 at x=0
Use the point-slope form of a line.
{{{y-y[p]=m(x-x[p])}}}
From above,
{{{x[p]=y[p]=0}}}
Substituting all the values. 
{{{y-y[p]=m(x-x[p])}}}
{{{y-0=(2)(x-0)}}}
{{{y=2x}}}
Graph them to prove out the solution.
{{{ graph( 300, 300, -5, 5, -5, 5, 2x, 2x+5/2) }}}