Dew-Point
Simply put, the dew-point is the amount of moisture in the air. It is indicated by a temperature at which dew forms. According to the University of Illinois, dew-point is the temperature to which the air would have to cool (at constant pressure and constant water vapor content) in order to reach saturation. The dew-point is never higher than the air temperature. When the dew-point temperature is at the air temperature, the air is said to be saturated.
When the dew point is at higher temperatures there is a greater likelihood of clouds and storms forming. There is also a higher likelihood that cooling could occur, causing water vapor to condense, and form dew.
Relative Humidity
Relative Humidity is indicated by the difference between the air temperature and the dew-point temperature. It is the amount of moisture in the air determined by what the air has the potential for. If the difference between the temperature and the dew-point is great, the relative humidity is low (10%). If these numbers are very close together the relative humidity is very high (90%).