(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For small changes in temperature, the formula for the expansion of a metal rod under a change of temperature is:

L-Lo = aLo(t - to)

L= length at temp. t

Lo= initial length at temp. to

a= constant that depends on metal

A) express L as a linear function of t. Find the slope and y intercept(hint: treat the other quantities as constants.)

2. Relevant equations

Y=mx+b

Y-Yo=m(x-xo)

3. The attempt at a solution

Solution 1?: the slope is aLo as stated by the equation, and the y intercept is Lo...

Distribute

L= aLot-aLoto+Lo

L=Lo(at-ato+1)

Doesnt work, still has variable to, lo, etc.

Solution 2?: assume a=1

L=Lo(t-to+1)

Slope= Lo? Y intercept also lo?

Solution 3: Lo, a and to=0

L=0... doesnt work

Or, pretend all constants=1

L-1=1(t-1)

L=t

Seems too specific.

I don't really know from which other angle to tackle this problem, I would appreciate some ideas, although I can imagine the answer should be obvious to me. I don't know how to turn this fully into y=mx+b. Thanks in advance.

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# Frustrated by simple algebra problem

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