What is an equation of the tangent line at x = 5, assuming that y(5) = 4 and y'(5) = 2?

Question

What is an equation of the tangent line at  x = 5,  assuming that  y(5) = 4  and  y'(5) = 2?

freckles · Answer

We have all the information we need to fill in the blanks. No real math is needed.
Recall the equation of a tangent line is a line and therefore can be written as
y-y1=m(x-x1)
Where m is the slope at x=x1 and (x1,y1) is a point on the curve

anonymous · Answer

So it would be the points (5,4) (5,2)?

freckles · Answer

I only see on point on y
that is (5,4)

freckles · Answer

The other equation you wrote is giving you the slope at x=5

freckles · Answer

That little ' denotes derivative (slope)

anonymous · Answer

Oh! so the slope is 2? so it would be y-4=(2(x-5)

freckles · Answer

looks good

anonymous · Answer

wow thank you so much for your help!!