Plot points on the Cartesian plane, and understand the four quadrants and their sign conventions.
The Cartesian plane is divided into four quadrants by the x-axis and y-axis. Quadrant I has both coordinates positive, and the signs change as you rotate counterclockwise.
Which quadrant does the point (3, −4) lie in?
Quadrant IV (x positive, y negative)
Which quadrant does the point (−5, −2) lie in?
Quadrant III (both negative)
A point (x, y) is plotted by moving x units horizontally and y units vertically from the origin.
Plot the point (4, 0). Where does it lie?
On the positive x-axis, since y=0
Plot the point (0, −6). Where does it lie?
On the negative y-axis, since x=0
1. Which quadrant does (−2, 7) lie in?
2. Which quadrant does (6, 3) lie in?
3. Where does the point (−5, 0) lie?
4. Where does the point (0, 8) lie?
5. What are the coordinates of the origin?