The question asks how many solutions exist for a system of equations represented by two non-parallel lines graphed in the coordinate plane.

Explanation:

1. Two lines that are not parallel will intersect at exactly one point. This point of intersection represents the single solution to the system of equations, where both equations are satisfied.

2. The key conditions for this are:

   • Non-parallel lines mean they have different slopes, ensuring they will eventually cross.
   • Since they intersect only once, there is only one solution.

Correct Answer:

D. One

Would you like a detailed explanation of how to identify the slopes of lines or how to graphically solve systems of equations? Let me know!

Related Questions:

1. How can you determine if two lines are parallel using their equations?
2. What happens when two lines have the same slope but different y-intercepts?
3. How do you find the intersection point of two lines algebraically?
4. What are the conditions for a system of equations to have infinitely many solutions?
5. How does the slope-intercept form help in analyzing systems of equations?

Tip:

If you want to verify if two lines are parallel, perpendicular, or intersecting, always compare their slopes first! Parallel lines have equal slopes, and intersecting lines have different slopes.