SOLUTION: Let C = Celsius degree and F= Fahrenheit degree scales for temperature. Assuming that relation between C and F is linear and drawing F on vertical axis. Two data points on the line

Algebra ->  Linear-equations -> SOLUTION: Let C = Celsius degree and F= Fahrenheit degree scales for temperature. Assuming that relation between C and F is linear and drawing F on vertical axis. Two data points on the line      Log On


   

Question 333725: Let C = Celsius degree and F= Fahrenheit degree scales for temperature. Assuming that relation between C and F is linear and drawing F on vertical axis. Two data points on the line relating C and F are (5, 41), (25, 77) Find the equation relating C and F. Can it be applied for practical purposes?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(5, 41), (25, 77)
the slope of the line passing through the above points =
77-41 / 25-5
=36/20
=9/5 = m the slope
..
general equation of line = y = mx +b
plug value of any point and the slope m in the equation
(5,41)
41=9/5 *5 +b
41=9+b
41-9=b
b=32
..
so the general equation will be
y = 9/5 x + 32
f is drawn on they axis and c on the x axis
f= 9/5 c + 32
..
Plot the points and join the points to get a graph as given below.
graph%28300%2C200%2C-30%2C80%2C-30%2C80%2C%289x%2F5%29%2B32%29