Answer
The lines are perpendicular.
Work Step by Step
$y=\frac{2}{9}x+3, m=\frac{2}{9}$
$y=-\frac{2}{9}x,m=\frac{2}{9}$
$\frac{2}{9}\times-1=-\frac{2}{9}$
If two lines are perpendicular the slopes are the same with a different sign(-,+) . This also means that one multiplied by -1 equals the other.