The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin. What’s the answer
The equation of a line in the form y = mx passes through the origin (0,0), which means that m represents the slope of the line. In a proportional relationship, the slope (m) is equal to the constant of proportionality.
Looking at the graph of the proportional relationship, we can see that as x increases by 1, y increases by 2. Therefore, the slope (m) is 2.
Therefore, the equation of the line y = 2x through the origin is:
y = 2x