To derive the equation y = mx for a line through the origin, we need to find the slope of the line from the graph.
The slope can be calculated as the ratio of the change in y-coordinates to the change in x-coordinates between two points on the line. Since the line passes through the origin, we can easily see that the y-intercept is 0.
Looking at the graph, we can see that for every unit increase in x-coordinate, the y-coordinate increases by the same amount. This means that the slope of the line is equal to the y-coordinate divided by the x-coordinate for any point on the line.
Since the line passes through the origin (0,0), the slope is equal to y/x = 0/0 = 0.
Therefore, the equation of the line passing through the origin is y = 0x, which simplifies to y = 0.
In this case, the numerical coefficient is 0. This means that the equation of the line through the origin is y = 0.
Use the graph to derive the equation y = mx for a line through the origin. Simplify the numerical coefficient, if needed.
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