### Home > CALC > Chapter 3 > Lesson 3.4.1 > Problem 3-154

3-154.

Sketch a graph and find the equation of the line tangent to the curve *x* = 3. Then, find another point on the curve with the same slope as the tangent. Homework Help ✎

equation of tangent at *x* = 3:

*y* − *y*_{1} = *m*(*x* − *x*_{1})

equation of tangent at *x* = 3:*y* − 3 = 1(*x* − 3)*y* = *x* − 3 + 3*y* = *x*

To find another point with the same slope, consider the symmetry of the curve.

*m* = *y* '(3)

and *y* '(3) = 1 = *m*

*x*_{1} = 3

Use the eTool below to explore the graph of the curve.

Click the link at right for the full version of the eTool: Calc 3-154 HW eTool