Question 929220: Here's the question:
Solve the formula for converting celsius to Fahrenheit for C. Solve the formula for converting fahrenheit to Celsius for F. What do you notice?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! linear equation for converting C (x-axis) to F (y-axis):
(0,32)
(100,212)
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user the slope-intercept form:
y = mx + b
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m = slope = dy/dx
m = (212-32)/(100-0)
m = 180/100
m = 9/5
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b = y-intercept (y-coordinate when x=0)
b = 32
F = (9/5)C + 32
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linear equation for converting F (x-axis) to C (y-axis):
(32,0)
(212,100)
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user the point-slope form:
y - y1 = m(x + x1)
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m = slope = dy/dx
m = (100-0)/(212-32)
m = 100/180
m = 5/9
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C - 0 = 5/9(F - 32)
C = 5/9(F - 32)
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answer:
F = (9/5)C + 32
C = (5/9)(F - 32)
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