Thread: 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

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

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