The constant of proportionality is the rate at which the y-values change for every unit increase in the x-values. It can be calculated by finding the slope of the line.
To write an equation that represents this graph, we need to determine the equation of the line. The general form for the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
Since this is a proportional relationship, the equation will have a constant slope. Therefore, the equation can be written as y = kx, where k is the constant of proportionality.
To determine the y-intercept, we can observe the graph or plot a point where x = 0. In this case, the y-intercept appears to be 0.
Therefore, the equation that represents this graph is y = kx, where k is the constant of proportionality and the y-intercept is 0.