4 th yr.- Ruby
Ernesto Rondon Highschool
Prepared by: Joe Olivare
3. Cartesian Plane :
- or Cartesian Coordinate System
specifies each point uniquely in a plane
by a pair of numerical coordinates which
are the signed distances from the point to
two fixed perpendicular directed lines,
measured in the same unit of length.
- It’s main function is to plot or graph
ordered pairs (x,y).
Quadrant II Quadrant I
Quadrant III Quadrant IV
7. The 2 Cartesian Coordinates :
- The X-coordinate /X-axis/abcissa is
the horizontal line in the graph.
- The Y-coordinate/Y-axis/ordinate is
the vertical line in the graph.
- The coordinates are written as an
ordered pair (x, y) and they are
perpendicular to each other.
8. Other terms for :
9. Origin :
- the origin is the point
of intersection of (x,y)
with the coordinates
10. -The axes of a two-
system divide the plane
into four infinite
bounded by two half-
11. Different Regions :
- Quadrant I is positive to positive(+,+).
- Quadrant II is negative to positive(-,+).
- Quadrant III is negative to negative(-,-).
- Quadrant IV is positive to negative(+,-).
13. Here’s an example :
Suppose you were told to locate using a map "(3, 5)"
(pronounced as "the point three five" or just “three two")
on the place. Where would you look? To understand the
meaning of "(3, 5)", you have to know the following rule:
The x-coordinate (the number for the x-axis) always
comes first. The first number (the first coordinate) is
always on the horizontal axis.
14. Here’s how: then for the up to (3,to “three" onstart at -axis: y-
thencount draw“five",you would cross:x to the
count overwheremoving:parallel the
and thenthe spot in the dot the
So, point 5),
"origin", the axes