Step 1: Understand what a family of curves means. A family of curves is a set of curves that can be described by a general equation with a variable parameter.
Step 2: Look at the equation given in the question: y = kx. Here, 'k' is the parameter that can change.
Step 3: Recognize that when 'k' changes, the equation y = kx describes different straight lines, not curves.
Step 4: Conclude that since y = kx represents straight lines and not curves, it is NOT a family of curves.
