G(0,0) and H(2,10) 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(0,0) and H(2,10). Substitute (0, 0) for (x_1, y_1) and (2, 10) for (x_2, y_2) into the midpoint formula. M = ((0 + 2)/2 , (0 + 10)/2).Calculate midpoint coordinates: Calculate the coordinates of the midpoint M. M = ((0 + 2)/2 , (0 + 10)/2) M = (2/2, 10/2) M = (1, 5).

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$G(0,0)$ and $H(2,10)$ are the endpoints of a line segment. What is the midpoint $M$ of that line segment? $\newline$ Write the coordinates as decimals or integers. $\newline$ $M = (\_,\_)$

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Algebra 1

Midpoint formula: find the midpoint

Full solution

G(0,0)

and

H(2,10)

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 $G(0,0)$ and $H(2,10)$ . Substitute $(0, 0)$ for $(x_1, y_1)$ and $(2, 10)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{0 + 2}{2} , \frac{0 + 10}{2}\right)$ .
Calculate midpoint coordinates: Calculate the coordinates of the midpoint $M$ . $\newline$ $M = ((0 + 2)/2 , (0 + 10)/2)$ $\newline$ $M = (2/2, 10/2)$ $\newline$ $M = ($1$, $5$).