# FNGR 2 | Lesson 5 | Explore (Function Reflections) Solutions

1. The point of intersection is located on the line $$y=x$$ .
2. The $$x$$ and $$y$$ coordinates of the each set of points are inverted as shown in graph one with the points $$(4,5)$$ and $$(5, 4)$$ and $$(-3, 0)$$ and $$(0, -3)$$ .
3. Answers will vary.  All responses should include a set of points in which the $$x$$ and $$y$$ values are inverted.
4. The line drawn between two points in which the $$x$$ and $$y$$ coordinates are inverted is perpendicular to the line $$y=x$$ .  The distances from each point to the line $$y = x$$ are equal.