### Home > PC > Chapter 3 > Lesson 3.2.1 > Problem 3-66

3-66.

**Challenge:** Find the -intercept

*of the line*

*so that this line is tangent to the parabola*

*. Hint: If the line is tangent, there is only one point of intersection between the line and the parabola.*

Sketch the situation or explore this using the eTool below. How can you determine the value of algebraically?