### Home > AC > Chapter 4 > Lesson 4.2.3 > Problem 4-91

4-91.

Kenneth claims that (2, 0) is the point of intersection of the lines *y* = −2*x* + 4 and *y* = *x* − 2. Is he correct? How do you know? Homework Help ✎

Check his work by substituting (2, 0) into each equation.

*y* = −2*x* + 4

0 = −2(2) + 4

True or false?

Check the other equation.

(2, 0) is a solution to both equations, so it is where the two lines intersect.