Answer:
the lines are neither parallel nor perpendicular
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange both equations and compare their slopes.
If slopes are equal then they are parallel.
If slopes are the negative inverse of each other then perpendicular.
5x + 6y = 18 ( subtract 5x from both sides )
6y = - 5x + 18 ( divide all terms by 6 )
y = - [tex]\frac{5}{6}[/tex] + 3
with m = - [tex]\frac{5}{6}[/tex]
2x + 14y = 21 ( subtract 2x from both sides )
14y = - 2x + 21 ( divide all terms by 14 )
y = - [tex]\frac{1}{7}[/tex] + [tex]\frac{3}{2}[/tex]
with m = - [tex]\frac{1}{7}[/tex]
Since slopes are neither equal nor negative inverses, then they are neither parallel nor perpendicular.
