Question

Show that the point P ( - 4, 2 ) lies on the line segment joining the points A ( -4, 6 ) and B ( -4,-6)

Answer 1

Let the points are A (-4, 6) and B(-4, -6).
Slope of the line joining the points A and B
⇒ m₁ = (y₂ - y₁)/(x₂ - x₁)
⇒ m₁ = (-6 - 6)/(-4 + 4)
⇒ m₁ = -12/0 = ∞
Now ,
To check whether a point P(-4, 2) is lies on the line segment AB or not .
We find the slope of line segment AP.
⇒m₂ = (2 - 6)/(-4 + 4)
⇒m₂ = -4/0 = ∞
⇒m₂ = ∞
since,  m₁ = m₂.
And hence Point 'P' lies on the line segment AB.

Answer 2

This is the answer..............