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Find the value of k if the points A(2,\ ...

Find the value of k if the points `A(2,\ 3),\ B(4,\ k)\ a n d\ C(6,\ 3)`are collinear.

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To find the value of \( k \) such that the points \( A(2, 3) \), \( B(4, k) \), and \( C(6, 3) \) are collinear, we can use the formula for the area of a triangle formed by three points. If the area is zero, the points are collinear. ### Step-by-Step Solution: 1. **Identify the coordinates of the points:** - \( A(2, 3) \) - \( B(4, k) \) - \( C(6, 3) \) ...
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