To find the equation of the line that passes through the origin and the point (2, 10), we first need to find the slope (m) of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula: m = (y2 - y1) / (x2 - x1).
Given the points (1, 5) and (2, 10), we can calculate the slope as follows:
m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5
Now that we have the slope (m = 5) and we know the line passes through the origin (0, 0), we can write the equation of the line as y = mx.
Substitute the slope value into the equation:
y = 5x
Therefore, the equation of the line passing through the origin and the point (2, 10) is y = 5x.
(1, 5)
(2, 10)
The graph shows the proportional relationship. Derive the equation of the line y = mx through the origin
1 answer
1 answer