The graph shows the proportional relationship. Derive the equation of the line y = mx through the origin. (1,5) (2,10)
First, we need to find the slope (m) using the two points provided:
m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5
Since the line passes through the origin, the y-intercept is 0. Therefore, the equation of the line is:
y = 5x