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Find An Equation Of The Tangent Line To The Graph Of Y=g(x) At X=5

Find an equation of the tangent line to the graph of y=g (x) at x=5 if g (5)=-3 and g'(5)=4.

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nick-teal eNotes educator | Certified Educator

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The tangent line will always be a straight line, we can use slope intercept form to create that line.

y = mx + b.

We know that the derivative at x = 5 equals 4, f'(5) = 4.  So the slope at x = 5 is 4.
y = 4x + b

Now we just have to solve for b, and then we will be finished.  We plug in our point (5, -3) for x and y, and then we solve for b.

-3 =...

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Lix Lemjay eNotes educator | Certified Educator

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