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 November 2nd, 2019, 08:25 PM #1 Newbie   Joined: Sep 2019 From: Papua New Guinea Posts: 13 Thanks: 1 derivative Consider the function f(x)=6x-x^2 and the point P(2,f(2)=(2,7)). Find the slopes of secant lines to the graph of y=f(x) determined by P and points on the graph at x=3 and x=1.5 Last edited by skipjack; November 2nd, 2019 at 11:19 PM.
 November 2nd, 2019, 09:02 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,647 Thanks: 1476 $f(2) = 8 \neq 7$ Is there a typo or am I not understanding you? Thanks from nantii fariiman
 November 2nd, 2019, 11:26 PM #3 Global Moderator   Joined: Dec 2006 Posts: 21,124 Thanks: 2332 The points are P(2, 8), (3, 9) and (1.5, 6.75), so the required slopes are (9 - 8)/(3 - 2) = 1 and (6.75 - 8)/(1.5 - 2) = (-1.25)/(-0.5) = 2.5. Thanks from nantii fariiman

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