In what ratio does the point `(( 24)/(11) , y)` divide the line segment joining the points `P(2, -2) and Q(3, 7)`? Also find the value of y.

Explanation

To solve the problem, we need to find the ratio in which the point \((\frac{24}{11}, y)\) divides the line segment joining the points \(P(2, -2)\) and \(Q(3, 7)\). We will also find the value of \(y\).

### Step 1: Use the Section Formula
The section formula states that if a point \(R(x, y)\) divides the line segment joining points \(P(x_1, y_1)\) and \(Q(x_2, y_2)\) in the ratio \(m:n\), then:

\[ x = \frac{mx_2 + nx_1}{m+n} \]
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