Find the slope of a line, which passes through the origin, and the mid-point of the segment joining the points P (0, - 4) and B (8, 0)

Solution:

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

P (0, - 4) and B (8, 0) are [(0 + 8)/2, (- 4 + 0)/2] = (4, - 2)

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

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

(- 2 - 0)/(4 - 0) = - 2/4 = - 1/2

Hence, the required slope of the line is - 1/2

NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.1 Question 5

Find the slope of a line, which passes through the origin, and the mid-point of the segment joining the points P (0, - 4) and B (8, 0).

Summary:

It is given the line passes through the origin, and the midpoint of the segment joining the points P (0, - 4) and B (8, 0). The required slope of the line is -1/2.