Introduction for analytical geometry

Here we are going to see some basic principles for solving problems in analytical geometry basics.

Coordinates in analytical geometry
Coordinate system is a system uses set of numbers and point in a XY plane to represent a geometrical shape. For example, to indicate a line in a XY plane we need two points.

Equations of lines and curves in analytical geometry
We use equations to represent lines and curves to denote them in a coordinate plane. For example, the equation of a line is given by, y = mx + b and this type of line equations are first order equations. The equations of curves given by second order equations. For example, the equation of a circle is given by, = , and the equation of a parabola is given by by = 2ax.

Distance between two points in analytical geometry
Let (x1, y1) and (x2, y2) be two points in a coordinate plane. The distance between these two points are given by, I hope the above explanation was useful.