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Question 586230: Q:Think Metric! C=5/9F-160/9 is an equation relating temperature in Celsius units to temperature measures on the Fahrenheit scale. Let C= degrees Celsius and F= degrees Fahrenheit scale; assume the equation is graphed with c measures on the vertical axis.
a) Identify the slope and C intercept
b) Interpret the meaning of slope and C intercept for purpose of converting from Fahrenheit to Celsius temperatures.
c) Solve the equation for F and rework parts a & b if F is plotted on the vertical axis.
I have done this Question a lot of time but the answers are not coming correct so Any one there who can help me.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! I do the calculation as  , which is the same as  . That is the equation in point-slope form when I take freezing as my point. At the freezing point of pure water, C=0, F=32, the point (32,0). You could call it the F intercept. Your equation,  is equivalent, but would be considered the slope-intercept form.
a) The slope is  , the coefficient of the independent variable F. The C intercept is the value of C when F=0,  . The intercept point (0, .) is the point where the C versus F curve crosses the C axis. (We are using C where we usually use x, and F where we usually use y).
b) The slope is the temperature change in degrees Celsius for a change of 1 degree Fahrenheit. The C intercept is the Temperature in degrees Celsius, when the reading in degrees Fahrenheit is zero. It is approximately -18 (rounding to the nearest integer).
c) --->  (multiplying both sides of the equal sign times 9)
--->  ((adding 160 to both sides)
--->  or  (dividing both sides by 5)
Now the slope is  , representing is the temperature change in degrees Fahrenheit for a change of 1 degree Celsius. The F intercept is 32, the temperature in degrees Fahrenheitthat corresponds to zero Celsius.
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