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WORKBOOK
The Cartesian plane is formed by constructing two real lines that intersect at a right angle where
the point of intersection of these two lines becomes the origin. The horizontal real line is usually
referred to as the x–axis and the vertical line is usually called the y–axis. This also implies that the
plane has been divided into four quadrants. Each point on this plane is represented by an ordered
pair (x, y) where x (abscissa) and y (ordinate) are real numbers and are the coordinates of the
point.
Ordered Pair:
……………………………………………………………………………………………………………………………………………………
……………………………………………………………………………………………………………………………………………………
……………………………………………………………………………………………………………………………………………………
Equality of ordered pairs :
……………………………………………………………………………………………………………………………………………………
……………………………………………………………………………………………………………………………………………………
Example 1: If( x , 3 y ) 7 , 3 ( ) 4 , then find the values of x and y.
The order of
components is
important!
(a, b) ≠ (b, a)
Example 2: If 3( x , 4y ) ( 2 x , 5 8 x 6 y ) 8 , then find the values of x and y.
50 091math-wb-w3-(sets)
