Question

Water freezes at 0 celsius and 32 fahrenheit. Water boils at 100 degrees celsius ad 212 degree fahrenheit.

a) Write degrees Celsius as a linear function of degrees Fahrenheit.

b) What is the slope of your linear equation? What does it mean?

c) What is the y-intercept and what does it mean?

Answer 1

@DebbieG can u helo me here

Answer 2

" Write degrees Celsius as a linear function of degrees Fahrenheit" means that you want to write a linear equation, where degrees celsius is in the place of the usual Y variable, and degrees Fahrenheit is in the place of the usual X variable.

Well, you have 2 points on that line, right? They are given to you in the problem:

"Water freezes at 0 celsius and 32 fahrenheit. Water boils at 100 degrees celsius ad 212 degree fahrenheit."

The freezing is one point: (32, 0) (Notice that I put the celsius temp in the "y" slot, and the fahr temp in the "x" slot).

Now come up with the other point, using the boiling info.

Now you'll have 2 points, and with that you can compute slope, and then the equation of the line - you'll just need b, which you can compute using either y=mx+b or point-slope form, just use your slope and either point.

Answer 3

So how do i do a) ? i dont understand the "usual y variable" and x variable ... @DebbieG

Answer 4

When you are given coordinates for points on the line, like (2,7) or (15, -1), the first one is the x-coordinate (independent variable) and the second one is the y-coordinate (dependent variable).

Here, you are specifically told that you want your equation to give you C and a function of F.... that is different than if you wanted F as a function of C.

It's just a line, but with the points (F,C) for each pair of equivalent temps, rather than (X,Y).

Answer 5

Do you know how to find the equation for a line, given two points on the line?

Answer 6

no

Answer 7

Hmmm.... well, it had to have been part of the class or lesson, for you to have this question to answer. But here is a tutorial that looks pretty good for the topic:
http://www.purplemath.com/modules/strtlneq.htm

I'm very sorry, I really have to go.. I must get some things done here.

I would suggest that you look over that tutorial, I think it will help a lot. Then see if you have a better grasp of it. You can't do this problem, without a general understanding of how to come up with the equation for a line, given two points on the line. That is a fundamental topic underlying this.

Answer 8

ok... still need HELP people