A line segment has the endpoints R(9,7) and S(5,9). Find the coordinates of its midpoint M. Write the coordinates as decimals or integers. M = (_____,_____)

Identify Midpoint Formula: Identify the midpoint formula for a line segment. The midpoint of a line segment with endpoints (x_1, y_1) and (x_2, y_2) is given by the formula: Midpoint M = ((x_1 + x_2)/2 , (y_1 + y_2)/2).Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints R(9,7) and S(5,9). Substitute (9, 7) for (x_1, y_1) and (5, 9) for (x_2, y_2) into the midpoint formula. M = ((9 + 5)/2 , (7 + 9)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((9 + 5)/2 , (7 + 9)/2) M = (14/2, 16/2) M = (7, 8).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line segment has the endpoints $R(9,7)$ and $S(5,9)$ . Find the coordinates of its midpoint $M$ . $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

View step-by-step help

Home

Math Problems

Algebra 1

Midpoint formula: find the midpoint

Full solution

Q. A line segment has the endpoints

R(9,7)

and

S(5,9)

. Find the coordinates of its midpoint

M

\newline

Write the coordinates as decimals or integers.

\newline

M = (\_,\_)

Identify Midpoint Formula: Identify the midpoint formula for a line segment. The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: Midpoint $M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$ .
Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints $R(9,7)$ and $S(5,9)$ . Substitute $(9, 7)$ for $(x_1, y_1)$ and $(5, 9)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{9 + 5}{2} , \frac{7 + 9}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{9 + 5}{2} , \frac{7 + 9}{2}\right)$ $M = \left(\frac{14}{2}, \frac{16}{2}\right)$ $M = (7, 8)$ .