Determine whether lines are parallel, perpendicular or neither.

2x+y=8 6x + 3y = 12

parallel

perpendicular

neither

Parallel.

Step-by-step explanation:

We need to convert the 2 equations to slope-intercept form (in bold) : -

2x + y = 8

y = - 2x + 8.

6x + 3y = 12

3y = - 6x + 12

Divide through by 3:

y = - 2x + 4.

The slopes are the same (both - 2), so they are parallel.