Question 34108This question is from textbook Beginning Algebra
: 23. Plot points with coordinates (2, 3), (3, 4), and (4, 5) on the given graph. What do you
observe? Can you give the coordinates of another point with the same property?
This question is from textbook Beginning Algebra
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! 23. Plot points with coordinates (2, 3)...A SAY, (3, 4)..B SAY, and (4, 5)..C SAY on the given graph. What do you
observe? Can you give the coordinates of another point with the same property?
SLOPE OF AB =(4-3)/(3-2)=1=SLOPE OF BC =(5-4)/(4-3)
HENCE AB ABD BC HAVE SAME SLOPE AND PASS THROUGH SAME POINT B.SO THEY FORM A STRAIGHT LINE.SEE THE GRAPH BELOW.
IN THE SAME WAY D (5,6) ALSO MAKES SAME SLOPE OF (6-5)/(5-4)=1 WHEN JOINED TO C AND HENCE IS ON THE SAME LINE.
SEE THE GRAPH BELOW.
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