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

11-95.

Find all points where the graphs of y = x2 − 3x + 2 and y = 2x + 8 intersect. Homework Help ✎

Use the Equal Values Method and solve for x.

x2 − 3x + 2 = 2x + 8
x2 − 5x + 2 = 8
x2 − 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 (6, 20) and (−1, 6).