Pre Calculus

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31 Terms

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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.

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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).

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What is the origin point, and what are its coordinates?

The origin is point O, and it has coordinates (0,0).

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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

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What is the relationship between the slopes (m_1 and m_2) of parallel lines?

The slopes are the same (m_1 = m_2).

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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)

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What is the formula for the angle between two lines with slopes m_1 and m_2?

tan theta

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