Find the equation of the tangent to the curve which is parallel to the line 4x – 2y + 5 = 0.

Question

Philoid · Accepted Answer

finding the slope of the tangent by differentiating the curve

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

now comparing the slope of a tangent with the given equation

m(tangent) = 2

since this point lies on the curve, we can find y by substituting x

therefore, the equation of the tangent is