The correct answer is: [A]: " (134 − 35) / (16 − 4) " .
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Explanation:
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One way to calculate the slope, "m", of a line is:
m = (y₂ − y₁) / (x₂ − x₁) ;
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We are given the two (2) points on the graph:
"(4, 35)" , and: "(16, 134)" .
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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 ;
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OR:
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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) " ;
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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) " .
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→ The correct answer is: Answer choice: [A]: " (134 − 35) / (16 − 4) " .
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