P(4,9) and Q(2,7) 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 P(4,9) and Q(2,7). Substitute (4, 9) for (x_1, y_1) and (2, 7) for (x_2, y_2) into the midpoint formula. M = ((4 + 2)/2 , (9 + 7)/2)Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint M. M = ((4 + 2)/2 , (9 + 7)/2) M = (6/2, 16/2) M = (3, 8)

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$P(4,9)$ and $Q(2,7)$ 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

P(4,9)

and

Q(2,7)

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 $P(4,9)$ and $Q(2,7)$ . Substitute $(4, 9)$ for $(x_1, y_1)$ and $(2, 7)$ for $(x_2, y_2)$ into the midpoint formula. $M = \left(\frac{4 + 2}{2} , \frac{9 + 7}{2}\right)$
Calculate Midpoint Coordinates: Calculate the coordinates of the midpoint $M$ . $M = \left(\frac{4 + 2}{2} , \frac{9 + 7}{2}\right)$ $M = \left(\frac{6}{2}, \frac{16}{2}\right)$ $M = (3, 8)$