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

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Slope of line $A B$ is $\frac{9}{5}$

Slope of line $A B$ is $\frac{1}{9}$

Slope of line $A B$ is $\frac{3}{9}$

Slope of line $A B$ is $\frac{5}{9}$

answer is B.

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Detailed Solution

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

$y = m x + c$ we get $m = \frac{5}{9}$ and $c = \frac{- 160}{9}$

i.e;Slope of the line $A B = \frac{5}{9}$

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