Problem 2: Grid Consider the following grid Experiment with this activity: Color five of the points black. Observe that at least two black points must satisfy the following property: The line segment that joins the two black points passes through a third one (either black or white) If you attempt to prove this property, what technique will you use and why? Try to formally prove this property. Hint: Think of the coordinates of each point as being either even or odd. Problem 2: Grid Consider the following grid Experiment with this activity: Color five of the points black. Observe that at least two black points must satisfy the following property: The line segment that joins the two black points passes through a third one (either black or white) If you attempt to prove this property, what technique will you use and why? Try to formally prove this property. Hint: Think of the coordinates of each point as being either even or odd