Consider your experience. If you have a bachelor's degree in art or a master's in art education, you can charge more because your pupils will expect more from you. However, having a fine-arts degree does not necessarily make you a good artist, so be prepared to show your potential student your skills.
Be prepared to demonstrate your worth as a teacher. Perhaps you have an master's in Education or you are experienced with children. If not, expect to be on a learning curve as you begin to practice private arts teaching to either children or adults.
Phone other arranged classes offered such as those in karate, yoga and music lessons in your area to see what they charge. Price your lessons similarly.
Set up a studio or a room in your home that is well lighted and ventilated. The space should be large enough for you and a student as well as supplies. Studio usage usually costs 25 percent of your fee. Consider renting a room in your local church. Some churches may not charge you for the room.
Loan art supplies to teach with instead having the student work with average art supplies typically available in major supermarkets. If you are loaning your own supplies expect to charge more than if student brings his own.
Supply tea and coffee for lessons lasting longer than 1 hour. One hour is suitable for watercolor or drawing classes, but three hours is more appropriate for oil painting.
Demonstrate art techniques. Start by critiquing last week's homework for 15 minutes for example, and then demonstrate a new artistic technique. For example introduce types of color wheels and teach the student how to mix colors. An artist should also learn observation and how to create shadow.