18. recall that 0°c = 32°f and 100°c = 212°f. a. using x for degrees celsius and y for degrees fahrenheit, findan equation of the line passing through (0, 32) and (100, 212).b. what is the slope of the line? explain what the slope means interms of degrees celsius and degrees fahrenheit. c. what is the y-intercept of the line? explain what the y-interceptmeans in terms of degrees celsius and degrees fahrenheit.

Part a) The equation of the line is

or

Part b) The slope of the line is

Part c) The y-intercept is 32 (For a degrees Celsius equal to zero, the degrees Fahrenheit is equal to 32)

Step-by-step explanation:

Let

x ----> degrees Celsius

y ----> degrees Fahrenheit

we have the points

Part a) Find the equation of the line

Find the slope m

The equation of the line into slope point form is equal to

we have

Point

substitute

----> equation of the line into slope point form

---> equation of the line into slope intercept form

Part b) What is the slope of the line?

The slope of the line is

That means

The rate of change of the temperature is 1.8 degrees Fahrenheit by each degree Celsius

Part c) What is the y-intercept of the line?

we have

---> equation of the line into slope intercept form

The y-intercept is 32

The y-intercept is the value of y when the value of x is equal to zero

That means

For a degrees Celsius equal to zero, the degrees Fahrenheit is equal to 32

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step-by-step explanation:

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