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- LETS SAY YOU HAVE AN EQUATION AND YOURE ASKED TO GRAPH IT. WELL, THE GOAL OF THIS VIDEO IS TO SHOW YOU HOW TO GRAPH VARIOUS EQUATIONS BY PLOTTING POINTS ON THE COORDINATE PLANE. BEFORE WE ACTUALLY DO SOME GRAPHING OURSELF, ID LIKE TO TAKE A LOOK AT SOME GRAPHS THAT CAN BE OBTAINED BY GRAPHING EQUATIONS. ALL OF THESE INTERESTING GRAPHS WERE OBTAINED BY GRAPHING VARIOUS EQUATIONS BY PLOTTING POINTS ON THE COORDINATE PLANE. SOME OF THESE ARE BEYOND THE SCOPE OF THIS COURSE, BUT I DID WANT TO SHOW YOU, YOU CAN GET SOME VERY INTERESTING GRAPHS. OKAY, LETS TAKE A LOOK AT A DEFINITION BEFORE WE START. THE GRAPH OF AN EQUATION IS A DRAWING THAT REPRESENTS ALL OF THE ORDERED PAIRS THAT ARE SOLUTIONS OF THE EQUATION. AND REMEMBER THAT AN ORDERED PAIR CONSISTS OF TWO COORDINATES, AN X COORDINATE AND A Y COORDINATE. SO WERE GOING TO FIND VALUES FOR X AND Y THAT MAKE A GIVEN EQUATION TRUE AND THEN WERE GOING TO PLOT THOSE POINTS ON THE COORDINATE PLANE. LETS TAKE A LOOK AT