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Prove that the points A(4,1), B(-2,3) an...

Prove that the points `A(4,1)`, `B(-2,3)` and `C(-5,4)` are collinear. Also find the equation of the line passing through these points.

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To prove that the points \( A(4,1) \), \( B(-2,3) \), and \( C(-5,4) \) are collinear, we can follow these steps: ### Step 1: Calculate the slope of line AB The formula for the slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] For points \( A(4,1) \) and \( B(-2,3) \): ...
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