Posted by student on Tuesday, August 28, 2012 at 9:12pm.
The point P(4, −2)lies on the curve y = 2/(3 − x).
(a) If Q is the point(x, 2/(3 − x)),use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x.
1) 3.9 mPQ=
2) 3.99 mPQ=
3)3.999 mPQ=
4) 4.1 mPQ=
5) 4.01 mPQ=
im so confused! i just started this and my teacher really didn't explain it. can someone please break this down for me?

calculus  Reiny, Tuesday, August 28, 2012 at 10:42pm
I will do one of them, you do the others
3) x = 3.999
then y = 2/(33.999) = 2.00200200200...
then slope = (2.002002002  (2))/(3.9994)
= 2.0020020..

calculus  someone please help me with this!!!!, Tuesday, August 28, 2012 at 11:08pm
thank you for answering me. im just trying to figure this out. i understand how the part y= 2/(33.999) = 2.002002002
just your second line im trying to figure out. i can do the others once i just understand the steps. my teacher didn't go over this unfortunately.

calculus  someone please help me with this!!!!, Tuesday, August 28, 2012 at 11:37pm
nevermind i understand i took another look at it and its clear. thank you so much for getting back to me!!

calculus  Reiny, Tuesday, August 28, 2012 at 11:40pm
we now had two points
the original (4,2) and
the new (3.999, 2.002002002)
(notice that these two points are practically on top of each other)
how do you find the slope between 2 point ?
if we had 2 points ( a,b) and (c,d) wouldn't it
be (db)/(ca) or
you might have been taught
(y2  y1)/(x2  x1)
that's all I did.
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