Find the equation of the tangent to y=x^2+6x+9 which has a slope of 6.

1 answer

the slope of the tangent is the 1st derivative

2x + 6 = 6 ... x = 0 ... y = 9

the tangent line goes through (0,9) and has a slope of 6

using point-slope ... y - 9 = 6x