SOLUTION: Find the equation of the line tangent to the following curve at x = 1. Write your answer in y = mx + b format. Show supporting work y = 3x2 + 6x – 5

Algebra ->  Trigonometry-basics -> SOLUTION: Find the equation of the line tangent to the following curve at x = 1. Write your answer in y = mx + b format. Show supporting work y = 3x2 + 6x – 5       Log On


   

Question 961471: Find the equation of the line tangent to the following curve at x = 1. Write your answer in y = mx + b format. Show supporting work
y = 3x2 + 6x – 5

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The value of the slope is equal to the value of the derivative at x=1.
m=dy%2Fdx=6x%2B6=6%281%29%2B6=12
Use the point-slope form,
y%281%29=3%2B6-5=4
y-4=12%28x-1%29
y-3=12x-12
highlight%28y=12x-9%29