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Sagot :
To find the midpoint of a line segment with given endpoints, we use the midpoint formula. The midpoint [tex]\((x_m, y_m)\)[/tex] of a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is calculated as follows:
[tex]\[ x_m = \frac{x_1 + x_2}{2} \][/tex]
[tex]\[ y_m = \frac{y_1 + y_2}{2} \][/tex]
Given the endpoints [tex]\((-2, -2)\)[/tex] and [tex]\((4, 6)\)[/tex], we can plug these values into the formula:
For [tex]\(x_m\)[/tex]:
[tex]\[ x_m = \frac{-2 + 4}{2} = \frac{2}{2} = 1 \][/tex]
For [tex]\(y_m\)[/tex]:
[tex]\[ y_m = \frac{-2 + 6}{2} = \frac{4}{2} = 2 \][/tex]
Therefore, the midpoint of the line segment with endpoints [tex]\((-2, -2)\)[/tex] and [tex]\((4, 6)\)[/tex] is [tex]\((1, 2)\)[/tex].
So, the correct answer is:
B. [tex]\((1, 2)\)[/tex]
[tex]\[ x_m = \frac{x_1 + x_2}{2} \][/tex]
[tex]\[ y_m = \frac{y_1 + y_2}{2} \][/tex]
Given the endpoints [tex]\((-2, -2)\)[/tex] and [tex]\((4, 6)\)[/tex], we can plug these values into the formula:
For [tex]\(x_m\)[/tex]:
[tex]\[ x_m = \frac{-2 + 4}{2} = \frac{2}{2} = 1 \][/tex]
For [tex]\(y_m\)[/tex]:
[tex]\[ y_m = \frac{-2 + 6}{2} = \frac{4}{2} = 2 \][/tex]
Therefore, the midpoint of the line segment with endpoints [tex]\((-2, -2)\)[/tex] and [tex]\((4, 6)\)[/tex] is [tex]\((1, 2)\)[/tex].
So, the correct answer is:
B. [tex]\((1, 2)\)[/tex]
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