The graph of y = -4x is a straight line passing through the origin, illustrating a proportional relationship where y is four times the magnitude of x.
How to create a proportional relationship?
To graph the proportional relationship y = -4x, choose x-values, calculate corresponding y-values using the equation, and plot points (-3, 12), (-2, 8), (-1, 4), (0, 0), (1, -4), (2, -8), (3, -12). Connect points with a straight line passing through the origin.
This linear graph represents the proportional relationship, illustrating that y is always four times the magnitude of x, showing a consistent ratio of -4:1.