Let's analyze the image. The question is asking about the relationship between the two lines shown on the graph.

Upon inspection:

• The two lines intersect at right angles (90 degrees) at the origin (0,0).
• This indicates that the lines are perpendicular to each other, since the definition of perpendicular lines is that they intersect at a 90-degree angle.

Thus, the correct answer is:

A. The lines are perpendicular to each other.

Would you like more details or have any questions? Here are some additional questions that might deepen your understanding:

1. How do you determine whether two lines are parallel based on their slopes?
2. What is the condition for two lines to be coinciding?
3. How can you algebraically confirm that two lines are perpendicular?
4. What is the general formula for the slope of a line passing through two points?
5. Can two lines be neither parallel nor perpendicular? If so, what is their relationship?

Tip: Perpendicular lines have slopes that are negative reciprocals of each other (e.g., if one line has a slope of $m$, the other has a slope of $-\frac{1}{m}$).