The graph shows the proportional relationship. Derive the equation of the line y = mx through the origin.

(1, 5)
(2, 10)

1 answer

The slope (m) can be calculated as the ratio of the change in y to the change in x:

m = (10-5)/(2-1) = 5/1 = 5

Therefore, the equation of the line y = mx through the origin is:

y = 5x