Question

A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB

Answer 1

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

$Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)$

$Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)$

$Midpoint=\left(4,6\right)$

Therefore, the midpoint of the line AB is (4,6).