question_answer

If a graph is plotted taking the temperature in Fahrenheit along Y-axis and the corresponding temperature in Celsius along the X-axis, it will be a straight line              [AIIMS 1997]

A)            Having a +ve intercept on Y-axis

B)            Having a +ve intercept on X-axis

C)            Passing through the origin

D)            Having a ? ve intercepts on both the axis

Correct Answer: A

Solution :

                   We know that, \[\frac{C}{100}=\frac{F-32}{180}\] or \[F=\frac{9}{5}C+32\] Equation of straight line is, \[y=mx+c\] Hence, \[m=(9/5)\], positive and \[c=32\] positive. The graph is shown in figure.