Question 42188
Slope of a line passing through points (x1,y1) and (x2,y2) is {{{(y1-y2)/(x1-x2)}}}.


Two lines are parallel if their slopes are equal. 
Two lines are perpendicular if the product of their slopes is -1.


Slope of line 1 is {{{(5-(-2))/(8-3)}}} = {{{7/5}}}.
Slope of line 2 is {{{(4-(-1))/(-2-4)}}} = {{{-5/6}}}.


Here neither the condition for parallism nor that of perpendicularity is satisfied.
So the lines are neither parallel nor perpendicular to each other.