Question 128493: Find the slope of the line passing through the pair of points or state that the slope is undefined.
(4,2) and (7,8)
(-7,-9) and (3,-2)
(6,3) and (6,-4)
(7,-4) and (-9,-4)
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! I'll do the first two to get you started
# 1
Let's denote the first point (4,2) as . In other words, and
Now let's denote the second point (7,8) as . In other words, and
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Start with the slope formula
Plug in , , ,
Subtract the terms in the numerator to get . Subtract the terms in the denominator to get
Reduce
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Answer:
So the slope of the line through the points (4,2) and (7,8) is
# 2
Let's denote the first point (-7,-9) as . In other words, and
Now let's denote the second point (3,-2) as . In other words, and
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Start with the slope formula
Plug in , , ,
Subtract the terms in the numerator to get . Subtract the terms in the denominator to get
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Answer:
So the slope of the line through the points (-7,-9) and (3,-2) is 
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