What is the slope of a line that passes through (–12,15) and (0,4)?
2 answers:
Answer: The slope is: 
.
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Explanation:
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Given two points on the line: (x₁, y₁) ; and: (x₂, y₂) ;
which are given: (-12, 15) and (0, 4) ; in which:
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x₁ = -12 , y₁ = 15 , x₂ = 0, y₂ = 4 ;
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The slope, "m", is calculated as follows:
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m = (y₂ − y₁) / (x₂ − x₁) = (4 − 15) / [0 − (-12)] ;
= (4 − 15) / (0 + 12) ;
= -11 / 12 .
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The slope, "m" is: - 11/12 .
_______________________________________________________
__________________________________________________
Explanation:
__________________________________________________
Given two points on the line: (x₁, y₁) ; and: (x₂, y₂) ;
which are given: (-12, 15) and (0, 4) ; in which:
________________________________________________________
x₁ = -12 , y₁ = 15 , x₂ = 0, y₂ = 4 ;
_______________________________________________________
The slope, "m", is calculated as follows:
_______________________________________________________
m = (y₂ − y₁) / (x₂ − x₁) = (4 − 15) / [0 − (-12)] ;
= (4 − 15) / (0 + 12) ;
= -11 / 12 .
_______________________________________________________
The slope, "m" is: - 11/12 .
_______________________________________________________
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The number of ants in his farm after 12 weeks is 218.
Step-by-step explanation:
Step 1:
It is given that there are 15 ants initially and the ant population increases by 25% each week.
This is an exponential rate of increase that can be modeled by the following equation:
Number of ants after n weeks = Initial number of ants *
Step 2:
Rate of increase = 25% = 25 / 100 = 0.25
Number of weeks = 12
Number of ants after 12 weeks = 15* = 218.27 (rounded off to 218)
Step 3:
Answer:
The number of ants in his farm after 12 weeks is 218.