The lines 5x + 2y = 14 and y = - 5x + 9 are

A. parallel

b. perpendicular

c. neither

5x + 2y = 14

2y = - 5x + 14

y = - 5/2 x + 7; slope m = - 5/2

y = - 5x + 9; slope m = - 5.

Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.

So both lines are neither parallel nor perpendicular

Answer

C. Neither.