A line segment has the endpoints P(4,0) and Q(8,4). 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 P(4,0) and Q(8,4). Substitute (4, 0) for (x_1, y_1) and (8, 4) for (x_2, y_2) into the midpoint formula. M = ((4 + 8)/2, (0 + 4)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((4 + 8)/2, (0 + 4)/2) M = (12/2, 4/2) M = (6, 2).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

P(4,0)

and

Q(8,4)

. 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 $P(4,0)$ and $Q(8,4)$ . Substitute $(4, 0)$ for $(x_1, y_1)$ and $(8, 4)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{4 + 8}{2}, \frac{0 + 4}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((4 + 8)/2, (0 + 4)/2)$ $\newline$ $M = (12/2, 4/2)$ $\newline$ $M = (6, 2).$