1.8.3 practice - functions 3. Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.

  A. C(F) = 5/9F -(17 7/9)

  B. slope: 5/9

  C. y-intercept: -17 7/9

Step-by-step explanation:

The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...

  (F, C) = (32, 0) and (212, 100)

The slope can be found from the slope formula:

  m = (y2 -y1) / (x2 -x1)

  m = (100 -0)/(212 -32) = 100/180 = 5/9

The y-intercept can be found from the slope-intercept equation for a line:

  y = mx +b

  b = y -mx

Using the first point, we have ...

  b = 0 -(5/9)(32) = -160/9 = -17 7/9

Using the found values for m and b, the slope-intercept equation can be written ...

  C(F) = 5/9F -(17 7/9)

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The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.

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The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.

all teachers

step-by-step explanation:

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step-by-step explanation: