Please show your work as to how you got the answer Determine

Please show your work as to how you got the answer

Determine whether the lines L:x + y = 6 and M: 6x + 6y = 42 are parallel, coincident, or intersecting. Intersecting. Parallel. Coincident.

The two straight lines are

L: x+y=6

and M: 6x+6y = 42 i.e. x+y= 7

Since the equation of L and M differ only by the intercept term, they are parallel (2nd option is correct).