Answer
neither
Work Step by Step
$y=\underset\uparrow{\frac{4}{5}}x-2$
$\ \ \ \ \ \ $slope
$y=-\underset\uparrow{\frac{4}{5}}x+\frac{2}{3}$
$\ \ \ \ \ \ \ \ \ \ $slope
The slopes are not equal and are not negative inverse, so the lines are neither parallel nor perpendicular.