Answer:
Option b
The equation 6x + 10y = -6 represents a line that is parallel to the line 3x + 5y = –3
Solution:
let us consider two equations


If two equations are parallel to each other,then the condition is
------------- eqn 1
From question, given that 3x + 5y = –3
Hence we get,

Applying equation 1 in the given options,
Case 1:
Consider option 1, given that 3x + 5y = 2
Hence we get,

By using equation 1,

Hence the condition is not satisfied.
Case 2:
Consider option 2, given that 6x + 10y = –6
Hence we get,

By using equation 1,

By simplifying we get,

Hence the condition is satisfied. So, 6x + 10y = –6 represents the line which is parallel to 3x + 5y = –3
Case 3:
Consider option 3, given that -5x + 3y = –2
Hence we get,

By using equation 1,

Hence the condition is not satisfied.
Case 4:
Consider option 4, given that –3x + 5y = –3
Hence we get

By using equation 1,

Hence the condition is not satisfied.
Thus the correct answer is option b