SOLUTION: Find an equation of a linear function o(x)for which o(3)=7 and o(-1)=5.
Then find o(20).*
*By the way...the "o" is supposed to be the symbol in my problem which is an o with a ve
Algebra.Com
Question 274198: Find an equation of a linear function o(x)for which o(3)=7 and o(-1)=5.
Then find o(20).*
*By the way...the "o" is supposed to be the symbol in my problem which is an o with a vertical line through it...I'm assuming it's just a variable like x or y.
Thanks so much for your help!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Not "a variable like 
or 
" This is function notation, like )
.
You want to define )
such that \ =\ 7)
and \ =\ 5)
.
This is almost exactly the same thing as saying "What is an equation, in slope-intercept form, of the line that passes through the points (3, 7) and (-1, 5)?"
The only difference being that in one case you would derive an equation of the form 
but in the given case we will derive an equation of the form \ =\ mx\ +\ b)
.
Use the two point form of the equation of a line:
(x\ -\ x_1) )
Where )
and )
are the coordinates of the given points.
}\right)(x\ -\ 3))
A little arithmetic:
(x\ -\ 3))
Distributing and collecting terms:
And finally, replace with
\ =\ \frac{1}{2}x\ +\ \frac{11}{2})
John
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