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 ->  Linear-equations -> 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      Log On


   



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) About Me  (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 and .

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 .

Use the two point form of the equation of a line:



Where and are the coordinates of the given points.



A little arithmetic:



Distributing and collecting terms:





And finally, replace with



John