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Problem 12 Easy Difficulty

Find an equation of the tangent line to the graph of
$y=g(x)$ at $x=5$ if $g(5)=-3$ and $g^{\prime}(5)=4$

Answer

$y=4 x-23$

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Video Transcript

to find an equation for the tangent. Climb to why Nichols to looks, uh, X equals five g five three. Don't you cry? Five is for No. Remember our equation for the change a line? His landline this way not is equal to any Times X minus next. Now we're in for this year. It's gonna be That's your evidence. Five. That's not It's gonna be five. Why? No, it's kind of a negative primal. 54 So that's why plus three sequence of four times thanks or why it's able to for X lettuce 20 minus three, which is four minus three.

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