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 $\frac{9}{5}$
• B. Slope of line AB is $\frac{5}{9}$
• C. Slope of line AB is $\frac{1}{9}$
• D. Slope of line AB is $\frac{3}{9}$

Answer 1

The correct option is B Slope of line AB is $\frac{5}{9}$

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 $\frac{5}{9}$.