(1, 5) (2, 10) The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin.

1 answer

To find the equation of the line y=mx that passes through the origin, we need to calculate the slope (m) using the given points (1, 5) and (2, 10).

The formula for calculating the slope m is:
m = (y2 - y1) / (x2 - x1)

Using the points (1, 5) and (2, 10):
m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5

Therefore, the equation of the line y=mx through the origin is y=5x.