Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
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The graph shows a straight line passing through the origin. In the equation y = mx, m represents the slope of the line. The slope is equal to the ratio of the change in y-coordinates to the change in x-coordinates. Since the line passes through the origin, the change in y-coordinates is equal to y2 - y1 = y - 0 = y, and the change in x-coordinates is equal to x2 - x1 = x - 0 = x. Therefore, the equation of the line is y = mx = x.
1 answer