Asked by A Teenage Dirtbag
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(points being 1,4 and 2,8)
(points being 1,4 and 2,8)
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Answered by
GPT 3.5
First, we need to find the slope (m) of the line by using the coordinates of the two points given in the graph. The formula for slope is:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (1, 4) and (x2, y2) = (2, 8).
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
Now that we have the slope, we can formulate the equation of the line. Since the line passes through the origin (0, 0), the equation is in the form y = mx:
y = 4x
Therefore, the equation of the line y = 4x through the origin represents the proportional relationship shown in the graph.
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (1, 4) and (x2, y2) = (2, 8).
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
Now that we have the slope, we can formulate the equation of the line. Since the line passes through the origin (0, 0), the equation is in the form y = mx:
y = 4x
Therefore, the equation of the line y = 4x through the origin represents the proportional relationship shown in the graph.
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