A line segment has the endpoints Q(8,6) and R(4,0). 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 Q(8,6) and R(4,0). Substitute the given coordinates into the midpoint formula: M = ((8 + 4)/2, (6 + 0)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((8 + 4)/2, (6 + 0)/2) = (12/2, 6/2) = (6, 3).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line segment has the endpoints $Q(8,6)$ and $R(4,0)$ . 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

Q(8,6)

and

R(4,0)

. 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. $\newline$ The midpoint of a line segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $\newline$ 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 $Q(8,6)$ and $R(4,0)$ . Substitute the given coordinates into the midpoint formula: $M = \left(\frac{8 + 4}{2}, \frac{6 + 0}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((8 + 4)/2, (6 + 0)/2) = (12/2, 6/2) = (6, 3)$ .