Use the image to answer the question.
An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line passes through points plotted at left parenthesis 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.
Write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
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To find the equation of the line, we first need to determine its slope (m). The line passes through the points (3,1), (6,2), and (9,3).
The slope (m) is determined by the change in y divided by the change in x.
Using the points (3,1) and (6,2), we have a change in y of 2-1=1 and a change in x of 6-3=3.
Therefore, the slope is m=1/3.
Since the line passes through the origin (0,0), the equation of the line is y = mx, where m=1/3.
Therefore, the equation of the line is y = 1/3x.