A line segment has the endpoints K(6, 8) and L(2, 0). Find the coordinates of its midpoint M. Write the coordinates as decimals or integers. M = (_____, _____)

Identify formula: Identify the midpoint formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2)Substitute coordinates: Substitute K(6, 8) and L(2, 0) into the formula: M = ((6 + 2)/2, (8 + 0)/2)Calculate x-coordinate: Calculate the x-coordinate: (6 + 2)/2 = 8/2 = 4Calculate y-coordinate: Calculate the y-coordinate: (8 + 0)/2 = 8/2 = 4Combine coordinates: Combine the coordinates: M = (4, 4)

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A line segment has the endpoints $K(6, 8)$ and $L(2, 0)$ . Find the coordinates of its midpoint $M$ .

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Algebra 1

Midpoint formula: find the midpoint

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Q. A line segment has the endpoints

K(6, 8)

and

L(2, 0)

. Find the coordinates of its midpoint

M

Identify formula: Identify the midpoint formula: Midpoint = $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$
Substitute coordinates: Substitute $K(6, 8)$ and $L(2, 0)$ into the formula: $M = \left( \frac{6 + 2}{2}, \frac{8 + 0}{2} \right)$
Calculate x-coordinate: Calculate the x-coordinate: $\frac{6 + 2}{2} = \frac{8}{2} = 4$
Calculate y-coordinate: Calculate the y-coordinate: $(8 + 0)/2 = 8/2 = 4$
Combine coordinates: Combine the coordinates: $M = (4, 4)$