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Math Help - slope and intercept form

  1. #1
    Junior Member wpcp15's Avatar
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    Red face slope and intercept form

    my problem is:

    use the information provided to write and graph the linear equation that gives the number y of degrees Fahrenheit in the terms of the number x of degrees Celsius.

    provided information: Ice forms at a tempertature of 0 C, which corresponds to a temperature of 32F. A temperature of 100C corresponds to temperature of 212F.

    How do I solve the problem. I know that to convert fahrenheit to celsius to take the temp. in F minus 32 divided by 1.8
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  2. #2
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    Let the x-axis represent the temperature in Celcsius and y-axis represent the temperature in Fahrenheint.
    Look at picture below.

    The y-intercept is 32 because for 0 celius we have 32 fahrenheint.

    The other point is (100,212).

    Find the slope,
    Code:
    212-32       9
    --------  =  --
    100-0         5
    The y-intercept is 32 as explained before.

    Thus, the equation of the line is, i.e. conversion formula from celius to fahrenheit is.

    y=(9/5)x+32
    Attached Thumbnails Attached Thumbnails slope and intercept form-picture6.gif  
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  3. #3
    Junior Member wpcp15's Avatar
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    Thanks I understant how you solved it by using the slope formula. changes in y coordinates over the changes in the x coordinates, to get it slope form

    Thank You
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