Question

Find the slope of a line, which passes through the origin, and the mid-point of

the line segment joining the points P (0, –4) and B (8, 0).

Answer 1

The coordinates of the mid-point of the line segment joining the points

P (0, –4) and B (8, 0) are

It is known that the slope (m) of a non-vertical line passing through the points (x₁, y₁) and (x₂, y₂) is given by.

Therefore, the slope of the line passing through (0, 0) and (4, –2) is

.

Hence, the required slope of the line is.