Question 450142
First you have to write equations in the slope-intercept form:{{{y=mx+b}}}.

Second you have to find the slopes:1) If {{{m[1]=m[2]}}} the lines are parallel.

2)If {{{m[1]*m[2]=-1}}} the lines are perpendicular.

Let solve our problem:{{{system(4x+8y=16, 3x+6y=7)}}}, written in slope-intercept

form is:{{{system(y=(-1/2)x+2, y=(-1/2)x+7/3)}}}, since,  {{{m[1]=m[2]=-1/2}}}

thus, the lines are parallel.

{{{graph(400, 400, -5, 6, -5, 6, (-1/2)x+2, (-1/2)x+7/3)}}}