### Home > APCALC > Chapter 7 > Lesson 7.2.1 > Problem 7-58

7-58.

What is the value of such that the parabola

*is tangent to the line*

*? Also, state the point of tangency.*

At the point of tangency,

Since the tangent line is , then the slope of the tangent is

Therefore

Solve a system of equations.