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Prove that the points (4,3),(1,4)and (-2...

Prove that the points `(4,3),(1,4)and (-2,5)` are collinear. Also find out the equation of the straight line on which these points lie.

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To prove that the points \( (4,3) \), \( (1,4) \), and \( (-2,5) \) are collinear, we can use the concept of slopes. If the slopes of the line segments formed by these points are equal, then the points are collinear. ### Step 1: Calculate the slope of line segment AB Let the points be: - \( A(4,3) \) - \( B(1,4) \) The formula for the slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: ...
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