Salsa music and dancing is an art form that is very popular anywhere that Latin culture thrives. It can be found all over central and south America, some islands of the Caribbean, and many places in the United States.
Bachata is a style of dance that originated in the Dominican Republic. It is danced widely all over the world but not identically. The basics to the dance are three-step with a Cuban hip motion, followed by a tap including a hip movement on the 4th beat.
Bachata is very popular because of its easier footwork when compared to other Latin dances. The rhythm tends to be slower than salsa with fewer turns which eliminates the hassle of stepping onto your partner's toes
Salsa music tends to be faster y picante (spicy), Bachata is slower and kind of suave (smooth), it's a romantic dance. The basic steps for each of them are completely different