What is length of the projection of line segment joining points `(2,3)` and `(7,5)` on x-axis.

Explanation

To find the length of the projection of the line segment joining the points \( (2,3) \) and \( (7,5) \) on the x-axis, we can follow these steps:

### Step 1: Identify the Points
The points given are:
- Point A: \( (2, 3) \)
- Point B: \( (7, 5) \)

### Step 2: Understand the Projection on the x-axis
The projection of a line segment on the x-axis involves dropping perpendiculars from the endpoints of the segment to the x-axis. The projection will be represented by the horizontal line segment connecting the x-coordinates of the two points.

### Step 3: Determine the x-coordinates
The x-coordinates of the points are:
- For Point A: \( x_1 = 2 \)
- For Point B: \( x_2 = 7 \)

### Step 4: Calculate the Length of the Projection
The length of the projection on the x-axis can be calculated as the difference between the x-coordinates of points A and B.

\[ \text{Length of projection} = |x_2 - x_1| = |7 - 2| = 5 \]

### Conclusion
Thus, the length of the projection of the line segment joining the points \( (2,3) \) and \( (7,5) \) on the x-axis is \( 5 \).

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