Please enable JavaScript.
Coggle requires JavaScript to display documents.
Analytic Geometry - Coggle Diagram
Analytic Geometry
THE NUMBER LINE
A real number line, or simply number line, allows us to visually display real numbers by associating them with unique points on a line. There are infinitely many real numbers between any two distinct given real numbers. The real number associated with a point is called a coordinate. A(x) means that x is the coordinate of the point A.
-
THE COORDINATE PLANE
We use the notation (x,y) to represent an ordered pair, notice that the x-coordinate or abscissa is first, followed by the y-coordinate or ordinate listed second. To represent an ordered pair graphically, we use the rectangular coordinate system also called the Cartesian Coordinate System named after the French Mathematician Rene Descartes.
The plane used in this system is called the Coordinate Plane or Cartesian plane. The horizontal axis (x-axis) and the vertical axis (the y-axis)intersect at the origin 0 and naturally divide the Cartesian plane into 4 quadrants labeled quadrants 1,2,3 and 4.
-
-
-
-
Let A,B,C,D are the vertices of a parallelogram ABCD and K be the intersection of diagonals.
-
-
LINES IN PLANE
-
-
If the line is parallel to the x-axis then m = 0 (zero slope) If the line is parallel to the y-axis then m is undefined
-
-
-
Straight Line Graphs
To be able to draw a straightline, we need to know at least two different points that the line passes through. After the points are plotted on Cartesian coordinate plane, draw a straight line passing on the points
If the equation of the line is given ax + by = 0 form or y = mx form, the graph of line passes on origin.
If the equation of the line is given by + c = 0 form or y = b form, the graph of line is parallel to x-axis.
If the equation of the line is given ax + c = 0 form or x = a form, the graph of line is parallel to y-axis.
-
-
-