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“ He who believes in the Son has everlasting life; and he who does not believe the Son shall not see life, but the wrath of God abides on him.”. John 3:36. THE CARTESIAN COORDINATE SYSTEM. BY: JEREMIAH A. ALTAR. REN Ѐ DESCARTES AND THE FLY. STORY TELLING…. ASK YOUR TEACHER ABOUT IT.
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“ He who believes in the Son has everlasting life; and he who does not believe the Son shall not see life, but the wrath of God abides on him.” John 3:36
THE CARTESIAN COORDINATE SYSTEM BY: JEREMIAH A. ALTAR
RENЀ DESCARTES AND THE FLY STORY TELLING… ASK YOUR TEACHER ABOUT IT
THE CARTESIAN COORDINATE SYSTEM Y DEVELOPED BY THE FRENCH MATHEMATICIAN RENЀ DESCARTES (1596-1650) COMPOSED OF TWO PERPENDICULAR NUMBER LINES USUALLY AS X AND Y X THE VERTICAL LINE IS CALLED THE Y-AXIS (ORDINATE) THE HORIZONTAL LINE IS CALLED THE X-AXIS(ABSCISSA)
THE CARTESIAN COORDINATE SYSTEM THE INTERSECTION OF THE TWO NUMBER LINES IS CALLED THE ORIGIN Y II I THE POSITIVE DIRECTION IS TOWARDS THE RIGHT OR ABOVE THE ORIGIN (-,+) ORIGIN (+,+) THE NEGATIVE DIRECTION IS TOWARDS THE LEFTOR BELOW THE ORIGIN X IV THE AXES DIVIDE THE PLANE INTO FOUR REGIONS, EACH OF THEM IS A QUADRANT(NAMED USING ROMAN NUMERALS) III (+,-) (-,-)
PLOTTING POINTS IN THE CARTESIAN COORDINATE SYSTEM . HAVE AN ORDERED PAIR TO PLOT(EACH POINT IN THE COORDINATE PLANE IS AN ORDERED PAIR). e.g. (2,3) Y (2,3) 2. FROM THE ORIGIN, LOCATE THE THE FIRST NUMBER OF THE GIVEN ORDERED PAIR ON THE X-AXIS. X 3. FROM THE LOCATION IN 2, MOVE VERTICALLY IN LOCATING THE SECOND NUMBER OF THE GIVEN ORDERED PAIR 4. ON THE LOCATION AT 3, PLOT THE POINT
. MORE EXAMPLES… PLOT THE FOLLWING POINTS . B 1. A(6,1) 2. B(-5,4) A . . 3.C(-2,-4) 4. D(5,-4) D C
. QUIZ GIVE THE COORDINATES OF THE FOLLWING POINTS AND THE QUADRANT TO WHICH IT BELONG: . . A(4,1),I E B(-2,2),II B . A . C(-5,-3),III D(4,-2),IV D C E(3,4),I
. QUIZ GIVE THE COORDINATES OF THE FOLLWING POINTS AND THE QUADRANT TO WHICH IT BELONG: . Q U I Z Q(-3,-2),III S U R(-2,-6),III . S(-2,4),II . T(6,-5),IV Q . U(6,3),I T R