### Home > CALC > Chapter 5 > Lesson 5.5.1 > Problem 5-158

5-158.

Given

Find the equation of the tangent line at

. Use the point-slope formula.

Use

to find the slope at. You already know the point.Find the equation of the line normal to the tangent at

. Normal lines are means perpendicular to the tangent line at the point of tangency.

Find all points on

with the same slope as in part (b).Let

the slope in part (b). Solve for. Then find the corresponding-value(s). Write your answer(s) as coordinate point(s).