#### Answer

perpendicular

#### Work Step by Step

y=-$\frac{1}{3}$x+2
y+7=4(x+3)-x
y=4x+12-x-7
y=3x+5
One equation has a slope of -$\frac{1}{3}$ and the other has a slope of 3. Since these numbers are opposite reciprocals of each other, the lines are perpendicular.