If (x1, y1) and (x2, y2) are distinct points in the plane, show that Is the equation

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If (x1, y1) and (x2, y2) are distinct points in the plane, show that
If (x1, y1) and (x2, y2) are distinct points in

Is the equation of the line through (x1, y1) and (x2, y2). Use this result to develop a test for collinearity of three points.

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