write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph

graph
3,1
6,2
9,3

1 answer

To find the slope (m) of the line that represents the proportional relationship between the points (3,1), (6,2), and (9,3), we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (3,1) and (6,2):

m = (2 - 1) / (6 - 3)
m = 1 / 3

Therefore, the slope (m) is 1/3. Since the line passes through the origin (0,0), the equation of the line is:

y = (1/3)x

So, the equation of the line that describes the proportional relationship shown in the graph is y = (1/3)x.
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