+0  
 
0
130
1
avatar

Find an equation of the tangent line to the graph of 

y = g(x) at x = 5 if g(5) = −3 and g'(5) = 6

Guest Mar 26, 2017
Sort: 

1+0 Answers

 #1
avatar+4720 
+3

g'(5) = 6

This means the slope of the tangent line we're after is 6.

 

g(5) = -3

This means the tangent line passes through the point (5,-3).

 

So now all we need to do is simply find the equation for a line with a slope of 6 that passes through the point (5,-3).

 

y = mx + b

 

Plug in what we know and solve for what we don't (in this case, b).

-3 = 6(5) + b

-3 = 30 + b

-33 = b

 

Now use the slope and y intercept to make the equation.

y = 6x - 33

hectictar  Mar 26, 2017

19 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details