### Home > CCA2 > Chapter 9 > Lesson 9.2.2 > Problem9-66

9-66.

How many solutions are there to the system of equations below? Justify your response.

 $y = x^2 - 2x + 2$ $y = 2x - 2$

The first equation is a parabola, the second equation is a line.
How many times can a line and parabola intersect?

Graph the equations or solve the system algebraically to determine the number of solutions.

There is only one point of intersection. What is it?