Question 103189
Assuming that this represents a STRAIGHT LINE, any two pairs will do.

{{{slope=(y-increment)/(x-increment)}}}

I will use these pairs---(2,26.9), and (4,31.5)


Thus,

{{{slope=(31.5-26.9)/(4-2)}}}
{{{slope=4.6/2}}}
{{{slope=2.3}}}


Let's use the slope intercept form!


{{{y=mx+b}}}


Since we DO NOT know the y-intercept,b, we'll solve for it!

Let's use the pair,(4,31.5) for the values of x and y.

{{{31.5=2.3*4+b}}}
{{{31.5=9.2+b}}}
{{{b=22.3}}}

Thus,

y=2.3x+22.3

This can be written as a function

f(t)=2.3T+22.3


read as,'the f of the time is 2.3 times the temp. added to 22.3.

GRAPH:

{{{graph(1000,1000,-50,50,-50,50,2.3x+22.3)}}}


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HyperBrain!