Question

The graph $AB$ shown in the figure is a plot of the 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

The correct option is B Slope of line $AB$ is $5/9$

Relation between Celsius and Fahrenheit scale of temperature is

$\frac{C}{5}=\frac{F-32}{9}⟹C=\frac{5}{9}F-\frac{160}{9}$

Equating above equation with standard equation of line, $y=mx+c$

we get slope of the line AB is $m=\frac{5}{9}$