Find the equation of the tangent line to the curve y = x 2 – 2x + 7 which is perpendicular to the line 5y – 15x = 13.

Question

Philoid · Accepted Answer

slope of given line is 3

finding the slope of the tangent by differentiating the curve

m(tangent) = 2x – 2

since both lines are perpendicular to each other

(2x – 2) × 3 = – 1

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

therefore, the equation of the tangent is