R(4,0) and S(10,2) are the endpoints of a line segment. What is the midpoint M of that line segment? 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(4,0) and S(10,2). Substitute (4, 0) for (x_1, y_1) and (10, 2) for (x_2, y_2) into the midpoint formula. M = ((4 + 10)/2, (0 + 2)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((4 + 10)/2, (0 + 2)/2) = (14/2, 2/2). M = (7, 1).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$R(4,0)$ and $S(10,2)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? $\newline$ 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

R(4,0)

and

S(10,2)

are the endpoints of a line segment. What is the midpoint

M

of that line segment?

\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 R $(4,0)$ and S $(10,2)$ . Substitute $(4, 0)$ for $(x_1, y_1)$ and $(10, 2)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{4 + 10}{2}, \frac{0 + 2}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{4 + 10}{2}, \frac{0 + 2}{2}\right) = \left(\frac{14}{2}, \frac{2}{2}\right)$ . $M = (7, 1)$ .