Question

The mid-point of the line segment joining the points (5, 4) and (6, 4) lies on ______.

Options

• x-axis

• y-axis

• origin

• neither x-axis nor y-axis

Answer 1

The mid-point of the line segment joining the points (5, 4) and (6, 4) lies on x-axis.

Explanation:

Given: x₁ = 5

x₂ = 6

y₁ = 4

y₂ = 4

The midpoint of a line segment joining (x₁, y₁) and (x₂, y₂).

Using the midpoint formula:

M = `((x_1 + x_2)/2, (y_1 + y_2)/2)`

= `((5 + 6)/2, (4 + 4)/2)`

= `((11)/2, (8)/2)`

= (5.5, 0)

A point lies on the x-axis if its y-coordinate is exactly 0.