A Closer Look at Coinciding Lines

In the previous post, we have asked a question about coinciding lines. We observed that the lines with equations and coincide. It is not difficult to see that is . The question now is if one equation is a multiple of the other, are their graphs coinciding? We answer this question below. Consider a point […]
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On Equations of Intersecting, Coinciding, and Parallel Lines

When we have two lines on a plane, there are three possibilities: the lines will never meet (parallel) the lines will meet at one point (intersecting) the lines will meet at infinitely many points (coinciding). As for the third case, coinciding means that lines which are on top of each other. In Algebra, we have […]
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