A Because they have the same slope, the lines are parallel.
B
Because they have the same slope and no shared points, the lines are parallel.
C
Because they have different slopes, the lines are not parallel.
D Although the slopes are the same, the lines are not parallel because the
equations represent the same line and thus share all of the same points.

B

Step-by-step explanation:

First, let's simplify the second equation

-2x+12y=-11

12y=2x-11

Divide both sides by 12

y=1/6x-11/2

Now, if we compare this to y=1/6x+11/12, we find that the slope is the same but the y intercept would be different because of the 11/12. The first equation is +11/12, but the second one is -11/12. So, the answer is B, they have the same slope and no shared points, the lines are parallel.

m a t h w a y. c o m

step-by-step explanation: