Question

Given two parallel lines$\mathit{n}$and$\mathit{k}$, how many planes contain$\mathit{n}$and$\mathit{k}$?

Short answer

The number of planes contains$\mathit{n}$and$\mathit{k}$is one.

Step-by-step solution

Step 1. Apply the concept of parallel lines.

If the two parallel lines have the same plane then they must have the same slope.

Step 2. Step description.

Consider the two parallel lines$m$ and $n$.

The parallel lines exist in the same plane then they must have the same slope.

Step 3. Step description.

Since they have the same slope thus the number of planes that contain the line is one.

Therefore, one plane contains two parallel lines.