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

9-66.

How many solutions are there to the system of equations at right? Justify your response. Homework Help ✎

*y*=*x*^{2}− 2*x*+ 2

*y*= 2*x*− 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?