Question

A line segment has the endpoints R(7,4) and S(9,2). Find the coordinates of its midpoint M.
Write the coordinates as decimals or integers.

Answer 1

The coordinates of its midpoint M is $(8,3)$

Explanation:

Given that a line segment has the endpoints $R(7,4)$ and $S(9,2)$

We need to determine the coordinates of its midpoint M

The midpoint of the two points can be determined using the formula,

$Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

Substituting the coordinates (7,4) and (9,2) in the above formula, we have,

$Midpoint=(\frac{7+9}{2} ,\frac{4+2}{2} )$

Adding the terms, we have,

$Midpoint=(\frac{16}{2} ,\frac{6}{2} )$

Dividing, we get,

$Midpoint=(8,3 )$

Thus, the coordinates of its midpoint M is $(8,3)$