Answer
perpendicular
Work Step by Step
$ y-4 = 3(x+2)$
$y-4 + 4 = 3x+6+4$
$y = 3x + 10$
$2x+6y = 10$
$2x+6y-2x = 10-2x$
$6y = - 2x + 10$
$6y/6 = (- 2x + 10)/6$
$y= -1/3*x + 5/3$
The products of the slopes is -1, so the lines are perpendicular.