The graph shows the proportional relationship Derive the equation of the line Y = MX through the origin.
Plots: (2, 10) (1, 5)
To find the equation of the line that passes through the origin and the points (2,10) and (1,5), we first need to determine the slope of the line using the two points.
The slope (M) of a line passing through points (x₁, y₁) and (x₂, y₂) is given by the formula:
M = (y₂ - y₁) / (x₂ - x₁)
Using the points (2,10) and (1,5), we have:
M = (5 - 10) / (1 - 2) = -5 / -1 = 5
So, the slope of the line is 5.
Since the line passes through the origin, the y-intercept is 0. Therefore, the equation of the line can be written as:
Y = 5X
So, the equation of the line passing through the origin and the points (2,10) and (1,5) is Y = 5X.