SOLUTION: Kami challenged her classmate to find the pattern in a logic puzzle. When she says 8, she means 9. When she says 16, she means 8. Find the equation of the line that passes through

Question 1005370: Kami challenged her classmate to find the pattern in a logic puzzle. When she says 8, she means 9. When she says 16, she means 8. Find the equation of the line that passes through the two points that represent the data in the problem. Use the equation to predict what Kami means when she says -8.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Kami challenged her classmate to find the pattern in a logic puzzle. When she says 8, she means 9. When she says 16, she means 8. Find the equation of the line that passes through the two points that represent the data in the problem. Use the equation to predict what Kami means when she says -8.
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You have 2 points that relate "says" to "means"::
(8,9) and (16,8)
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slope = (9-8)/(8-16) = -1/8
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Equation:
means = (slope)(says) + b
Solve for "b"::
9 = (-1/8)8 + b
9 = -1 + b
b = 10
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means = (-1/8)says + b
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Your Problem:
If she says -8,
means = (-1/8)*-8 + 10
means = 11
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Cheers,
Stan H.
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