I have received help from many of you last time i requested help and i thank you all for helping me out and not making me look like a fool in front of my child :) but now he needs my help again and he's giving me a few problems to show him how to solve so once again i'm seeking your help... if you guys could please show me how to solve these problems so i could try and teach it to him after teaching it to myself that would be great thank you all in advance sorry if i mistyped anything i'm doing this really fast because i have to go thank you all
For the equation of the tangent line, using the point-slope form,
y -y1 = m(x -x1)
y - 2sqrt(3) = [sqrt(3) /6](x -(-4))
y -2sqrt(3) = [sqrt(3) /6]x +4[sqrt(3) /6]
y = [sqrt(3) /6]x +(2/3)sqrt(3) +2sqrt(3)
y = [sqrt(3) /6]x +(8/3)sqrt(3) -------------------the tangent line.