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Question 56610: When graphing an equation with two variables, what does " Y = X + 1 " mean?
Answer by checkley71(8403)   (Show Source):
You can put this solution on YOUR website! HOPE THIS ADDITIONAL EXPLANATION HELPS YOU UNDERSTAND GRAPHING.
HAVE YOU DONE ANY GRAPHING USING GRAPH PAPER (PAPER WITH HORIZONTAL & VERTICLE LINES)? THEN YOU NEED TO DRAW A VERTICLE LINE UP & DOWN IN THE MIDDLE OF THE PAPER (THIS IS THE Y AXIS)& AND DRAW A HORIZONTAL LINE ACROSS THE MIDDLE (THIS IS THE X AXIS). THE PLACE WHERE THESE TWO LINES CROSS IS THE POINT(X=0,Y=0). EACH LINE (OR SQUARE) ON THE PAPER REPRESENTS 1 UNIT ON THE X & Y AXIS.
EXAMPLE: TO PLOT THE POINT (3,2) COUNT 3 UNITS ON THE X AXIS TO THE RIGHT OF THE INTERSECTION. THEN COUNT UP 2 UNITS AND MARK THIS POINT. THE RIGHT SIDE OF THE X=0 INTERSECTION IS THE PLUS SIDE AND THE LEFT SIDE IS THE NEGATIVE SIDE. THE AREA ABOVE THE HORIZONTAL LINE IS THE Y PLUS DIRECTION AND THE AREA BELOW THIS LINE IS THE NEGATIVE Y DIRECTION.
NOW TO FIND THE POINT (-4,-2). COUNT 4 UNITS TO THE LEFT ON THE X LINE AND THEN COUNT DOWN 2 UNITS AND MARK THIS POINT (-4,-2).
THE EQUATION OF A LINE IS EXPRESSED BY Y=mX+b WHERE THE m=SLOPE & THE b= THE Y INTERCEPT
THEN THE EQUATION Y=X+1 IS A LINE WITH A SLOPE OF 1 AND THE Y INTERCEPT OF 1
TO FIND THE X INTERCEPT SET Y=0 IN THIS EQUATION THUS
0=X+1
X=-1
SO THE TWO POINTS FOR THIS LINE ARE (0,1)(-1,0)
PLOT THESE TWO POINTS AND DRAW A LINE BETWEEN THEM.
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