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The temperature of a room over time is given by \(T=18-2h\), where \(T\) is the temperature (in °C) and \(h\) is time (in hours). What is the correct meaning of the \(y\)-intercept in this situation?

Answer and explanation

Correct answer: At 0 hours, the temperature is 18°C

For the \(y\)-intercept, put \(h=0\): \(T=18-2(0)=18\). Thus, the initial temperature is 18°C. Option B misreads the slope, which is \(-2\). Exam tip: the constant term gives the \(y\)-intercept.

Related tags

Linear EquationsSlopeY-InterceptGraph InterpretationMathematics Class 9Slope And Y InterceptIntroduction To PolynomialsMathematics

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