The equation \( y = -3x \) represents a linear relationship. In this equation, \( y \) is directly proportional to \( x \) with a constant slope of \(-3\).
Linear relationships can be expressed in the general form \( y = mx + b \), where:
- \( m \) is the slope,
- \( b \) is the y-intercept (in this case, \( b = 0 \) since there is no constant term).
Since \( y = -3x \) fits this form, it is confirmed to be a linear equation.