A line segment has the endpoints C(5,3) and D(1,3). 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: ((x_1 + x_2)/2 , (y_1 + y_2)/2)Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints C(5,3) and D(1,3). Substitute (5, 3) for (x_1, y_1) and (1, 3) for (x_2, y_2) into the midpoint formula. M = ((5 + 1)/2 , (3 + 3)/2)Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((5 + 1)/2 , (3 + 3)/2) M = (6/2 , 6/2) M = (3, 3)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line segment has the endpoints $C(5,3)$ and $D(1,3)$ . Find the coordinates of its midpoint $M$ .

View step-by-step help

Home

Math Problems

Algebra 1

Midpoint formula: find the midpoint

Full solution

Q. A line segment has the endpoints

C(5,3)

and

D(1,3)

. Find the coordinates of its midpoint

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: $\left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$
Apply Formula to Endpoints: Apply the midpoint formula to the given endpoints $C(5,3)$ and $D(1,3)$ . Substitute $(5, 3)$ for $(x_1, y_1)$ and $(1, 3)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{5 + 1}{2} , \frac{3 + 3}{2}\right)$
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = \left(\frac{5 + 1}{2} , \frac{3 + 3}{2}\right)$ $\newline$ $M = \left(\frac{6}{2} , \frac{6}{2}\right)$ $\newline$ $M = ($3$, $3$)