y=e^-9t at t=0

Is the point (0,0)? Please chk if the question is complete

the question doesn't specify if the point is (0,0)

You need a point of line to determine the equation of the tangent. From the above information, you can find only the slope of the line

ok i guess thats what they are looking for then?

Slope m is

y' = -9e^-9t

at t =0 Slope m is y =-9

Now you need the point to find the equation of the line

-9 is the slope of the tangent line

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