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A graph of Fahrenheit temperature versus Celsius temperature is a straight line, whose intercept is _____.
Question

A graph of Fahrenheit temperature versus Celsius temperature is a straight line, whose intercept is _____.

A.

32°F

B.

32°C

C.

100°C

D.

0°F

Correct option is A

The Correct Answer is: (a) 32°F
Explanation:
The relationship between Fahrenheit (°F) and Celsius (°C) temperatures is given by the equation:

F = 95C+32\frac{9}{5}C + 32​​

This is a linear equation of the form y = mx + c, where:

  • F (Fahrenheit) is plotted on the y-axis
  • C (Celsius) is on the x-axis
  • Slope (m) is 9/5
  • Intercept (c) is 32°F

So, the intercept of the graph on the Fahrenheit axis (when Celsius is 0) is:

F = 95(0)+32=32F\frac{9}{5}(0) + 32 = 32^\circ F​​

Information Booster:
  • Conversion Formula: F =95C+32 \frac{9}{5}C + 32​​
  • Freezing point of water: 0°C = 32°F
  • Boiling point of water: 100°C = 212°F
  • The Fahrenheit scale was developed by Daniel Gabriel Fahrenheit.
  • The graph is a straight line, indicating a linear relationship.

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