Q. 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
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
Explanation
(a) 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
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.