Question 174597: Help I am unsure about this one
What is a secant line? The equation goes;
Find the equation of the secant line containing (1,f(1)) and (2,f(2)).?
then it gives the problem:
f(x)= 8
___ or 8/x+7
x+7
Can anyone shed some light on this one? Not in my book
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the equation of the secant line containing (1,f(1)) and (2,f(2)).?
then it gives the problem:
f(x)= 8
___ or 8/x+7
x+7
----------------
A secant line is one that joins exactly two points of a curve.
Since f(x) = 8/(x+7)
f(1) = 8/(1+7) = 8/8 = 1
and
f(2) = 8/(2+7) = 8/9
---------------------------
So you have two points: (1,1) and (2,8/9)
slope: ((8/9)-1)/(2-1) = -1/9
intercept: 1 = (-1/9)1 + b
b = 10/9
-------------
Equation of the secant line : y = (-1/9)x + (10/9)
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Cheers,
Stan H.
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