To find the equation of the line y=mx through the origin, we need to find the slope of the line.
Given that the line passes through the points (3, 1), (6, 2), and (9, 3), we can calculate the slope as follows:
m = (change in y) / (change in x)
= (2-1) / (6-3)
= 1/3
Therefore, the equation of the line y=mx through the origin is y = (1/3)x.
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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