Answer:
The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].
Step-by-step explanation:
Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:
[tex]2\cdot x + y = k, \,k\neq 6[/tex] (1)
Then, a possible solution is [tex]2\cdot x + y = -2[/tex].
