Find the equation of the line y=mx through the origin that describes the proportional relationship between (1,4) and (2,8)

1 answer

To find the equation of the line y = mx through the origin, we need to find the slope (m) of the line.

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

Using the given points (1,4) and (2,8), we have:
m = (8 - 4)/(2 - 1)
m = 4/1
m = 4

Therefore, the slope of the line is 4.

The equation of the line y = mx through the origin can be written as y = 4x, since the origin is (0,0), and when x = 0, y = 0.