### Home > AC > Chapter 12 > Lesson 12.2.2 > Problem 12-50

12-50.

Find the point(s) of intersection of the line and parabola below. Be sure to check each point by substituting it back into both equations. Homework Help ✎

*y* = 3*x*^{2} − 5*x* + 2

*y* = 4*x* + 2

Set the equations equal to each other.

Set the equation equal to zero.

Factor and Solve.

Check these answers by substituting them back into the original equations.

Points of intersection are (3, 14) and (0, 2).