The Distance and Midpoint Formulas:

1. Find the midpoint of the line segment joining \(\displaystyle{P = (-3,6)}\) and \(\displaystyle{Q = (1,4)}\). Also find the distance between them.   solution

2. Find the distance between the points \(\displaystyle{P = (-4,-4)}\) and \(\displaystyle{Q = (1,7)}\). What are the coordinates of the midpoint of the line segment \(PQ\).   solution

3. Find the distance between the points \(\displaystyle{P = (1,-1)}\) and \(\displaystyle{Q = (-\sqrt 3, -\sqrt 3)}\).   solution

4. The government of the United States spent $350 billion on national defense in the year 2000 and $740 billion in the year 2008. Estimate the amount spent on defense in the year 2004.    solution