To derive the equation of the line y = MX through the origin from the given graph of a proportional relationship, we can use the point-slope form of the equation of a line. In this case, since the line passes through the origin, the y-intercept is 0.
The point-slope form of the equation of a line is given by:
y - y1 = m(x - x1)
Since the line passes through the origin, the coordinates of the point are (0,0). Substituting these values into the point-slope form, we get:
y - 0 = m(x - 0)
Simplifying this, we get:
y = mx
Therefore, the equation of the line y = mx that passes through the origin is the equation of the proportional relationship shown in the graph.
The graph shows the proportional relationship derive the equation the line y = MX through the origin
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