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Find the value of x for which the points...

Find the value of x for which the points `(x , 1)`, `(2, 1)`and `(4, 5)`are collinear.

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To determine the value of \( x \) for which the points \( (x, 1) \), \( (2, 1) \), and \( (4, 5) \) are collinear, we can use the concept of slopes. If the points are collinear, the slope between any two pairs of points must be equal. ### Step-by-step Solution: 1. **Identify the Points**: We have three points: \( A(x, 1) \), \( B(2, 1) \), and \( C(4, 5) \). 2. **Calculate the Slope of Line AB**: ...
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