### Home > CAAC > Chapter 12 > Lesson 12.4.4 > Problem 12-103

12-103.

Find the point(s) of intersection of the system of equations below. Show all your work. Homework Help ✎

*y* = 5*x* − 22

*y* = *x*^{2} − 6*x* + 8

The graph of these equations would be a line and a parabola.

How many possible intersection points are there?

Use the Equal Values method to solve.

Set the new equation equal to 0 and then solve for *x* by factoring.

Remember to find the *y*-value that corresponds to each *x*-value.