### Home > AC > Chapter 11 > Lesson 11.2.2 > Problem 11-95

11-95.

Find all points where the graphs of *y* = *x*^{2} − 3*x* + 2 and *y* = 2*x* + 8 intersect. Homework Help ✎

Use the Equal Values Method and solve for *x*.

*x*^{2} − 3*x* + 2 = 2*x* + 8*x*^{2} − 5*x* + 2 = 8*x*^{2} − 5*x* − 6 = 0

Factor and use the Zero Product Property to find the values for *x*.

Substitute the values for *x* back into one of the original equations to solve for *y*.

The points of intersection are (6, 20) and (−1, 6).