7 Analytic Geometry

How to determine the midpoint. Consider the segment AB with ends at points A(x_1, y_1) and B(x_2, y_2) in the following figure:.
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Identify if a point belongs to a given line

The only thing we will have to do is to substitute the x and y of the equation by the coordinates of the point and if the equation gives an equality it will mean that the point will belong to the line.4 Nov 2015

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The answer to the equation is 4.

Coordinates of the midpoint of a segment

Point of incidence. A point P(p_1, p_2) belongs to a line of equation Ax + By + C = 0 , when the coordinates of the point satisfy the equality:.

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