Question 91338
You can see if the lines are parallel, perpendicular, or neither by examining their slopes. {{{m = (y[2]-y[1])/(x[2]-x[1])}}}
{{{m[1] = (3-(-7))/(1-(-4))}}}
{{{m[1] = 10/5}}}
{{{m[1] = 2}}}

{{{m[2] = (10-6)/(4-2)}}}
{{{m[2] = 4/2}}}
{{{m[2] = 2}}}
The slopes of the two lines are the same, therefore, they are parallel.