Question 961471
The value of the slope is equal to the value of the derivative at {{{x=1}}}.
{{{m=dy/dx=6x+6=6(1)+6=12}}}
Use the point-slope form,
{{{y(1)=3+6-5=4}}}
{{{y-4=12(x-1)}}}
{{{y-3=12x-12}}}
{{{highlight(y=12x-9)}}}
{{{drawing(300,300,-6,6,-6,6,grid(1),circle(1,4,0.2),graph(300,300,-6,6,-6,6,3x^2+6x-5,12x-9))}}}