Question 79387: How do I plot points with coordinates (2,3), (3,4), (4,5) on a graph? Would I be able to give the coordinates of another point with the same property? I have no idea of what to do here. Could somone possible explain the result step by step in order for me to understand the problem, Thank You
Answer by checkley75(3666)   (Show Source):
You can put this solution on YOUR website! THERE SRE 2 WAYS TO SOLVE THIS PROBLEM ALGEBRACIALLY & GRAPHICALLY.
ALGEBRACIALLY WE NEED TO FIND THE SLOPE
(Y2-Y1)/(X2-X1)
(4-3)/(3-2)=1/1=1 FOR THE SLOPE OF THIS LINE.
NOW WE SUBSTITUTE 1 SET OF X & Y POINTS AND FIND THE Y INTERCEPT (b) IN THE LINE EQUATION Y=mX+b WHERE (m)=SLOPE & (b)=Y INTERCEPT.
3=1*2+b
3=2+b
b=3-2
b=1 THUS THE Y INTERCEPT IS 1.
NOW WE HAVE THE LINE EQUATION OF
Y=X+1.
NOW TO FIND ANY OTHER POINT WE SET X TO A NEW VALUE SAY -2 & SOLVE FOR Y
Y=-2+1
Y=-1 OR THIS POINT IS (-2,-1)
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HAVING THE EQUATION OF THE LINE Y=X+1 WE CAN NOW GRAPH THIS LINE THUS:
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x +1).
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