the graph shows the proportional relationship. Derive the equation of the line y = mx through the origin
In a proportional relationship, the equation of the line passing through the origin can be written in the form y = mx, where m is the constant of proportionality.
From the graph, we can see that as x increases, y also increases in a linear fashion. Therefore, the slope of the line is given by the formula:
m = change in y / change in x
Since the line passes through the origin, its y-intercept is 0. Therefore, the equation of the line can be written as:
y = mx
where m is the slope of the line.