Question

Given the linear equation 2x + y = 6, write another linear equation in two variables such that these two equations when represented geometrically form parallel lines.

Answer 1

Answer:

The family of lines that are parallel to $2\cdot x + y = 6$ is of the form $2\cdot x + y = k, \,k\neq 6$. A possible solution is $2\cdot x + y = -2$.

Step-by-step explanation:

Let be $2\cdot x + y = 6$ the equation of a line, another line is parallel to it if and only if it is of the form:

$2\cdot x + y = k, \,k\neq 6$  (1)

Then, a possible solution is $2\cdot x + y = -2$.