Find the equation of the tangent line to the curve y = x 2 + 4x – 16 which is parallel to the line 3x – y + 1 = 0.

Question

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

m(tangent) = 2x + 4

equation of tangent is given by y – y₁ = m(tangent)(x – x₁)

now comparing the slope of a tangent with the given equation

2x + 4 = 3

Now substituting the value of x in the curve to find y

Therefore, the equation of tangent parallel to the given line is