1. 134-35/16-4 2. 134-16/35-4 3. 4-16/35-134 4. 4-16/134-35

The correct answer is:  [A]:  " (134 − 35) / (16 − 4) " .

Explanation:


One way to calculate the slope, "m", of a line is:

m = (y₂ − y₁) / (x₂ − x₁) ; 

We are given the two (2) points on the graph:

"(4, 35)" , and:  "(16, 134)" .


Thus, we have:

(x₁, y₁) ;  and:  (x₂, y₂) ;

We could either: 

1)  Use:  "(4, 35)" for "(x₁, y₁)" ; and then: "(x₂, y₂)" would be: "(16, 134)" ; 

     in which x₁ = 4;  x₂ = 16; y₂ = 134; y₁ = 35 ; 

and:     "m = (y₂ − y₁) / (x₂ − x₁) " ;  

      →   " m = (134 − 35) / (16 − 4) " ;  

      →  which is NOT an answer choice that is provided ; 

OR:

2)  Use:  "(16, 134)" for "(x₁, y₁)" ; and then: "(x₂, y₂)" would be: "(4, 35)" ; 

     in which:  x₂ = 4;  x₁ = 16;  y₂ = 35;  y₁ = 134 ; 

and:     "m = (y₂ − y₁) / (x₂ − x₁) " ;  

      →   " m = (35 − 134) / (4 − 16) " ; 

And among the answer choices provided; 

"Number 1" (shown above):  is the only choice which is correct; which is:

→  Answer choice:  [A]:  " (134 − 35) / (16 − 4) " .

→  The correct answer is:  Answer choice:  [A]:  " (134 − 35) / (16 − 4) " .