Question

The graph AB shown in figure is a plot of temperature of a body in degree celsius and degree Fahrenheit. Then

• A. Slope of line AB is 9/5
• B. Slope of line AB is 5/9
• C. Slope of line AB is 1/9
• D. Slope of line AB is 3/9

Answer 1

Answer: (B)

Slope of line AB is 5/9

Answer 2

Relation between Celsius and Fahrenheit scale of temperature is $\frac{C}{5} = \frac{F - 32}{9}$

By rearranging we get, C = $\frac{5}{9}F - \frac{160}{9}$

By equating above equation with standard equation of line $y = mx + c$ we get $m = \frac{5}{9}$ and $c = \frac{- 160}{9}$

i.e. Slope of the line AB is $\frac{5}{9}$.