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Who is regarded as the founder of analytic geometry and when was the coordinates system introduced?
(1596-1650) is regarded as the founder, introducing the coordinates system in 1637.
What is the rectangular coordinate system also known as, and what does it consist of?
It is also known as the Cartesian Coordinates System. It is a two-dimensional plane consisting of a horizontal axis (x-axis) and a vertical axis (y-axis).
What is the origin point, and what are its coordinates?
The origin is point O, and it has coordinates (0,0).
What are the terms for the x-coordinate and y-coordinate, and how are they measured?
The x-coordinate is the abscissa, measured from the y-axis. The y-coordinate is the ordinate, measured from the x-axis.
What is the relationship between the slopes (m_1 and m_2) of parallel lines?
The slopes are the same (m_1 = m_2).
What is the relationship between the slopes (m_1 and m_2) of perpendicular lines?
The slope of one is the negative reciprocal of the other (m_2=-1/m_1)
What is the formula for the angle between two lines with slopes m_1 and m_2?
tan theta