This problem is about parallel lines cut by a transversal. To begin analyzing this problem, how do we know that the lines are parallel if there are no words that say "these two lines are parallel"?

In a Euclidean Plane (or in anything that's in 2D, like most graphs), two lines are parallel if and only if the lines never intersect. In order to guarantee they'll never intersect, they must have the same slope.

Step-by-step explanation:

Parallel means not touching.

yeah, but you have to put your own last name, and first name

Step-by-step explanation:

I hope this helps