To derive the equation y = mx for a line through the origin, we need to find the slope of the line, which is represented by the numerical coefficient m.
From the graph, let's choose two points that lie on the line through the origin. Let's select the points (1, 2) and (2, 4).
To find the slope (m), we use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values from the selected points:
m = (4 - 2) / (2 - 1)
m = 2 / 1
m = 2
Now that we have the slope (m = 2), we can write the equation of the line through the origin as y = 2x.
Use the graph to derive the equation y=mx for a line through the origin. Simplify the numerical coefficient, if needed.
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