To find the equation of the line that passes through the origin and the point (9, 3), we need to determine the slope (m). The slope is calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, the point (9, 3) can be used as (\(x_1, y_1\)) = (9, 3) and (\(x_0, y_0\)) = (0, 0) since the line passes through the origin.
Substituting these values into the formula gives:
\[ m = \frac{3 - 0}{9 - 0} = \frac{3}{9} = \frac{1}{3} \]
Now that we have the slope \(m\), we can write the equation of the line through the origin as:
\[ y = \frac{1}{3}x \]
So, the equation representing the proportional relationship is:
\[ y = \frac{1}{3}x \]
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