Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.

The line passes through points (1,5) and (2,10).

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1)/(x2 - x1).

Given the points (1,5) and (2,10), the slope of the line passing through these points is (10 - 5)/(2 - 1) = 5.

Since the line passes through the origin (0,0), the equation of the line y=mx is simply y = 5x.