a) Neither
b) parallel
Two slopes are L₁ and L₃ is equal
∴ L₁ and L₃ are parallel lines
c) neither
Step-by-step explanation:
Step(i):-
Given that the Line 1
2 y = 3x+7
...(i)
comparing y = m x +c
here ![m = \frac{3}{2}](/tpl/images/1124/3291/0e662.png)
Given that the Line 2
4x-6y =-2
4x +2 =6y
![y = \frac{4}{6} x + \frac{2}{6}](/tpl/images/1124/3291/d0d01.png)
...(ii)
m = ![\frac{2}{3}](/tpl/images/1124/3291/d1391.png)
The two lines are not parallel or perpendicular
Step(ii):-
Given that line 3
...(iii)
here ![m = \frac{3}{2}](/tpl/images/1124/3291/0e662.png)
Two slopes are L₁ and L₃ is equal
∴ L₁ and L₃ are parallel lines
Step(iii):-
...(ii)
...(iii)
L₂ and L₃ arenot parallel lines and not perpendicular