The graph shows the proportional relationship. Derive the equation of the line y = mx through the origin. (1,5) (2,10)

Answer 1

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