How many lines can pass through two distinct points on a plane?

Answer

To solve the question "How many lines can pass through two distinct points on a plane?", we can follow these steps:

### Step 1: Understand the Definition of a Line
A line in geometry is defined as a straight path that extends infinitely in both directions and has no endpoints.

**Hint:** Remember that a line is different from a line segment, which has two endpoints.

### Step 2: Identify the Two Distinct Points
Let's denote the two distinct points as Point A and Point B. These points are unique and do not overlap.

**Hint:** Distinct points mean that Point A is not the same as Point B.

### Step 3: Visualize the Points
Draw a plane and mark the two points A and B on it. You can visualize them as dots on a piece of paper.

**Hint:** Drawing helps in understanding the relationship between the points and the line.

### Step 4: Draw the Line
Now, draw a straight line that connects Point A to Point B. This line represents all the points that lie between A and B, extending infinitely in both directions.

**Hint:** The line you draw should be straight and should not curve.

### Step 5: Conclude the Number of Lines
Since only one straight line can connect two distinct points, we conclude that there is exactly one line that can pass through both Point A and Point B.

**Hint:** Think about whether you can draw another line through the same two points without changing their position.

### Final Answer
Therefore, the answer to the question is that **only one line can pass through two distinct points on a plane.**

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