Question

What is the slope of the line that passes through the pair of points? (5,2) and (7,8) the answers are 2/3,-2/3,3/2 or -3/2

Answer 1

Answer:  The slope is:  "3" ; which does not appear among the                                   answer choices given.
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The slope, "m" is calculated as follows:
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Given two coordinates on a line; 

m = (y₂ − y₁) / (x₂ − x₁) ;
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We are given the following 2 (TWO) coordinates:
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 1)  (5,2) ; which is:  (x₁ ,y₁) ;  so x₁ = 5 ; y₁ = 2 ; AND:
 
 2)  (7,8);  which is:  (x₂ ,y₂) ;  so x₂ = 7; y₂ = 8 ;
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So;  m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3.  The slope is: 3 ; which does not appear among the answer choices given.
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Alternately,
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We are given the following 2 (TWO) coordinates:
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 1)  (7,8) ; which is:  (x₁ ,y₁) ;  so x₁ = 7 ; y₁ = 8 ; AND:
 
 2)  (5,2);  which is:  (x₂ ,y₂) ;  so x₂ = 5; y₂ = 2 ;
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So;  m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3.  The slope is 3 ; which does not appear among the answer choices given.
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