Respuesta :

Since we are given the point, all we need to find is the slope to discover the tangent line.
To find the slope, you plug in 2 for y’ as it is the x-value of the point.

y’ = 2((2)^2+2(2)+7)(2(2)+2) = 180

Plug in the point and the slope in the point-slope formula

y - y1 = m(x - x1)

y - 225 = 180(x - 2)

Solve for y

y = 180x - 360 + 225

y = 180x - 135