Question

The slope of the tangent line to the parabola y = 4 x^2 + 7 x + 5 at the point ( 5 , 140 ) is:
The equation of this tangent line can be written in the form y = mx+b where m is:
and where b is:

Answer 1

m-is the slope, b-is the y-int? or you need the values??

Answer 2

i need the actual values

Answer 3

take the derivative, replace \(x\) by \(5\)

Answer 4

how do i do that? i am not exactly sure

Answer 5

\[y = 4 x^2 + 7 x + 5 \]
\[y'=8x+7\] by the power rule

Answer 6

replace \(x\) by \(5\) and get \(47\)
that is your slope

Answer 7

ahhh thank you so much! I remember learning about the power rule in class today