Thread: Find the equation of tangent line

Hello,
I need to find the tangent line to the grapg of y=g(x) at x=5 if g(5) = -3 and g'(5) = 4

Can anybody give me a hint how I can do that?
Thanks

Originally Posted by DBA

Hello,
I need to find the tangent line to the grapg of y=g(x) at x=5 if g(5) = -3 and g'(5) = 4

The tangent line to the graph of is .

So,
y-g(5)=g'(5)(x-5)
y+3=4(x-5)
y+3=4x-20
y=4x-23

Is that correct?

that is correct.

The equation for a line can be written like

gives you the slope of the line (k)

and gives you a point in the tangent line (x and y)

Knowing that,