Question #aa562

1 Answer
Bill K.
Oct 4, 2017

The slope of the secant line simplifies to #h+11# when #h !=0#.

Explanation:

To find the slope of the secant line, compute the "rise" #Delta y# over the "run" #Delta x#.

#(Delta y)/(Delta x)=(f(4+h)-f(4))/((4+h)-4)=((4+h)^2+3(4+h)+7-35)/h#

#=(16+8h+h^2+12+3h-28)/h=(h(h+11))/h=h+11# when #h !=0#.

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