Find the ratio in which the line segment joining the points `(– 3, 10)` and `(6, – 8)` is divided by `(– 1, 6).`

Explanation

To find the ratio in which the line segment joining the points \((-3, 10)\) and \((6, -8)\) is divided by the point \((-1, 6)\), we can use the section formula. The section formula states that if a point \(P(x, y)\) divides the line segment joining the points \(A(x_1, y_1)\) and \(B(x_2, y_2)\) in the ratio \(m:n\), then the coordinates of point \(P\) can be given by:

\[ P\left(\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\right) \]

### Step 1: Identify the coordinates
Let \(A(-3, 10)\) and \(B(6, -8)\). The point \(P\) is given as \((-1, 6)\).
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