Question

The graph AB shown in the figure below 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 given by $\frac{C}{5}=\frac{F-32}{9}$
By rearranging we get, $C=\frac{5}{9}F-\frac{160}{9}$
Equating the above equation with the standard equation of straight line $y=mx+c$, we can conclude that the slope of the graph $\left(m\right)=\frac{5}{9}$