G(0,9) and H(4,3) 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 G(0,9) and H(4,3). Substitute (0, 9) for (x_1, y_1) and (4, 3) for (x_2, y_2) into the midpoint formula. M = ((0 + 4)/2, (9 + 3)/2).Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((0 + 4)/2, (9 + 3)/2) = (4/2, 12/2) = (2, 6).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$G(0,9)$ and $H(4,3)$ 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

G(0,9)

and

H(4,3)

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 $G(0,9)$ and $H(4,3)$ . Substitute $(0, 9)$ for $(x_1, y_1)$ and $(4, 3)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{0 + 4}{2}, \frac{9 + 3}{2}\right)$ .
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = ((0 + 4)/2, (9 + 3)/2) = (4/2, 12/2) = (2, 6)$ .