{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Stitz-Zeager_College_Algebra_e-book

1 2 so named in honor of ren descartes e the labels

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: P below on the left. To use the numbers on the axes to label this point, we imagine dropping a vertical line from the x-axis to P and extending a horizontal line from the y -axis to P . We then describe the point P using the ordered pair (2, −4). The first number in the ordered pair is called the abscissa or x-coordinate and the second is called the ordinate or y -coordinate.3 Taken together, the ordered pair (2, −4) comprise the Cartesian coordinates of the point P . In practice, the distinction between a point and its coordinates is blurred; for example, we often speak of ‘the point (2, −4).’ We can think of (2, −4) as instructions on how to reach P from the origin by moving 2 units to the right and 4 units downwards. Notice that the order in the ordered pair is important − if we wish to plot the point (−4, 2), we would move to the left 4 units from the origin and then move upwards 2 units, as below on the right. y y 4 4 3 3 (−4, 2) 2 1 −4 −3 −2 2 1 −1 1 2 3 4 x −4 −3 −2 −1 1 −1 −2 3 4 x −2 −3 2 −1 −3 −4 P −4 P (2,...
View Full Document

{[ snackBarMessage ]}