The equations of three lines are given below. Line 1: 2y = 3x+7
Line 2: 4x-6y=-2
3
Line 3: y==x-4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2:
O Parallel
O Perpendicular O Neither
Х
?
Line 1 and Line 3: O Parallel O Perpendicular ONeither
Line 2 and Line 3:
O Parallel Operpendicular ONeither

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  

Given that the Line 2

                     4x-6y =-2

                     4x +2 =6y

                      ...(ii)

                 m =

The two lines are not parallel or perpendicular

Step(ii):-

     Given that line 3    

                 ...(iii)

     here  

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

the answer for the second equation is (4,0)