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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Expert Answers
calendarEducator since 2015
write85 answers
starTop subject is Math
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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