### Home > PC > Chapter 3 > Lesson 3.2.1 > Problem3-66

3-66.

Challenge: Find the $y$-intercept $b$ of the line $y = 2x + b$ so that this line is tangent to the parabola $y = x^{2} − 6x + 6$. 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 $b$ algebraically?