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

(1,3), (2,6), (3,9)?

1 answer

To find the equation of the line y=mx that describes the proportional relationship shown in the graph, we can use the points (1,3) to calculate the slope m:

m = (y2 - y1) / (x2 - x1)
m = (6-3) / (2-1)
m = 3 / 1
m = 3

Now that we have the slope m=3, we can plug it into the equation y=mx. So the equation of the line through the origin that describes the proportional relationship is:

y = 3x
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