Find an equation of the line tangent to the curve at the point corresponding to the given value of t.x2 -4, y=t + 6t; t= 3(Type an equation. Type your answer in slope-intercept form.)ssignments (2)27443étvMacBook Air20F5F6F7F2F3F4@#3$&4567WESFH

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Find an equation of the line tangent to the curve at the point corresponding to the given value of t. x-² -4, y=r + 6t; t= 3

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section8.5: Slope-intercept Form

Problem 18E

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Question

Find an equation of the line tangent to the curve at the point corresponding to the given value of t.
x2 -4, y=t + 6t; t= 3
(Type an equation. Type your answer in slope-intercept form.)
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MacBook Air
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Expert Solution

Step 1

$G i v e n, x = t^{2} - 4, y = t^{3} + 6 t, t = 3 T o f i n d : T h e e q u a t i o n o f t h e \tan g e n t l i n e . W e k n o w t h a t, T h e e q u a t i o n o f t h e \tan g e n t l i n e u \sin g t h e p o i n t (x_{1}, y_{1}) a n d s l o p e, m i s g i v e n b y ∴ y - y_{1} = m (x - x_{1})$

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