### Home > AC > Chapter 11 > Lesson 11.2.2 > Problem11-95

11-95.

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

Use the Equal Values Method and solve for x.

$x^{2} − 5x − 6 = 0$

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 $\left(6, 20\right)$ and $\left(−1, 6\right)$.