The graph shows the proportional relationship derive the equation if the line y = mx through the origin
If the graph shows a proportional relationship that passes through the origin (0,0), then the equation of the line can be written in the form y = mx, where m is the slope of the line.
The slope, m, can be determined by selecting any two points on the line. Since the line passes through the origin, we can choose the origin (0,0) and any other point on the line.
Let's choose another point (x1, y1) on the line. The slope can then be calculated as:
m = (y1 - 0) / (x1 - 0)
= y1 / x1
Therefore, the equation of the line y = mx through the origin is:
y = m * x
Where m is the slope of the line.