#### Answer

perpendicular

#### Work Step by Step

2x+3y=15
3y=-2x+15
y=-$\frac{2}{3}$+5
One equation has a slope of -$\frac{2}{3}$ and the other has a slope of $\frac{3}{2}$. These two numbers are opposite reciprocals of each other, therefore, the lines are perpendicular.