SOLUTION: find linear function f given f(2)=3 and f(6)=4 Im lost not how to do

Question 1036485: find linear function f given f(2)=3 and f(6)=4
Im lost not how to do
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find linear function f given f(2)=3 and f(6)=4
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You have two points:: (2,3) and (6,4)
----
Form:: y = mx + b
slope = m = (4-3)/(6-2) = 1/4
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Solve for "b" using (2,3) and m = 1/4
3 = (1/4)2 + b
3 = (1/2) + b
b = 5/2
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Equation:
y = (1/2)x + (5/2)
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the general form of the linear
equation be:

----------------
given:
(1)
(2)
------------------
Also given:

(1)
and

(2)
------------------
Rewrite (1) and (2)
(1)
(2)
-----------------
subtract (1) from (2)
(2)
(1)
-------------------

-------------
and
(1)
(1)
(1)
(1)
(1)
---------------------
So, the linear equation is:

----------------------
check:

----------------------

OK
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