1. ANALYTIC GEOMETRY
Math 004
Lecture #1
• Rectangular Coordinate System
• Distance Between Two Points
• Division of a Line Segments
• Midpoint of a Line
3. ï‚— The horizontal axis is the x-axis and the vertical
axis is the y-axis
ï‚— The point of intersection of the two axes is the
origin of the Cartesian plane
ï‚— The Cartesian plane is composed of four
quadrants
ï‚— Each quadrant represents an ordered pair with
respective sign
ï‚— Plotting is the process of locating point/s in the
Cartesian plane
9. DIVISION OF A LINE SEGMENT
ï‚— When P lies between A and B on the line
segment, then P is said to be divided
internally (internal division)
A P B
10. ï‚— When points, such as Q and R, lie on an
extension of the segment outside the interval
AB, then they are said to be divided externally
(external division)
Q A B R