If the points `P ,Q(x ,7),R ,S(6, y)` in this order divide the line segment joining `A(2, p)a n dB(7, 10)` in 5 equal parts, find `x ,ya n dpdot`

Explanation

To solve the problem, we need to find the values of \( x \), \( y \), and \( p \) given the points \( P, Q(x, 7), R, S(6, y) \) that divide the line segment joining \( A(2, p) \) and \( B(7, 10) \) into 5 equal parts.

### Step-by-Step Solution:

1. **Understanding the Division of the Line Segment:**
The points \( P, Q, R, S \) divide the line segment \( AB \) into 5 equal parts. This means that there are 4 segments between these points.

2. **Finding the Coordinates of Point Q:**
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