Solving systems of equations in three variables

Parallel line have the same slope.

Step-by-step explanation:

Parallel lines are those lines which never intersect each other and distance between these two lines is always equal.

Now, if the parallel lines have same origin, x-intercepts and y -intercepts then it will intersect and these points which contradicts the definition of parallel lines.

Therefore, we can say that parallel lines have the same slope.

Hence, second option is correct.