The line in plan

The line's equation determined by two points

Two distinct points A(x1, y1) and B(x2, y2) determine a line  d, whose equation is:

The equation can be written as a determinant as follows:

 If y2 = y1 and x2 ≠ x1 we have (d): y = y1

 If y2 ≠ y1 and x2 = x1 we have (d): x = x 

The line's equation can be written like this:

Line's equation, the right in plan, geometry, and if we write   lines equation, analityc geometry, where m is called slope of line we obtain this form

slope og line, line's equation, geometry

 

We can also determine the line's equation by cuts (i.e. where the line meets the Axis, in the points A(a, 0) and B(0, b)).

lines equation by cuts, geometry

 

 

 

 

 

Keywords: analytic geometry, the right plan, the equation, vector math

 

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