How do you find the slope of the

gabolzm6d

gabolzm6d

Answered question

2022-04-12

How do you find the slope of the secant lines of f(x)=7x2 at (4, f(4)) and (4+h, f(4+h))?

Answer & Explanation

webhui2v2

webhui2v2

Beginner2022-04-13Added 10 answers

Explanation:
Find the points at x=4 and x=4+h:
f(4)=7(4)2=7(16)=112
f(4+h)=7(4+h)2=7(16+8h+h2)=112+56h+7h2
The slope of the secant line is the slope of the line connecting the points (4, 112) and (4+h,112+56h+7h2)
The slope is
m=(112+56h+7h2)(4+h)4=56h+7h2h=56+7h

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