# Math Help - tangent line

1. ## tangent line

The slope of the tangent line to the parabola 3x^2+3x+3 at the point (1,9) is : ???????

The equation of this tangent line can be written in the form y=mx+b where m is: ????
and where b is: ?????

I found the antiderivative of the equation and plugged in 1...is that right? I need help on this problem!!!

2. Originally Posted by MathNeedy18
The slope of the tangent line to the parabola 3x^2+3x+3 at the point (1,9) is : ???????

The equation of this tangent line can be written in the form y=mx+b where m is: ????
and where b is: ?????

I found the antiderivative of the equation and plugged in 1...is that right? I need help on this problem!!!
you need to use the derivative not the antiderivative

Let $f(x) = 3x^2 + 3x + 3$
then,

$m = f'(1)$

and the tangent line at (1,9) is: $y - 9 = m(x - 1)$ and rearrange it to get the desired form