Question

the mid point of the line joining (5,2) and (7,4) is​

Answer 1

Given :-

• A line joining two points (5,2) and (7,4).

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To find :-

• Mid point of the given line.

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Solution :-

• Let the point A(5,2) and B(7,4) be the points of the line segment and P(x,y) be the mid point of the line segment.

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For finding the mid point, we use mid-point formula.

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$\implies\bf{P(x,y) = \bigg(\dfrac{x_1 + x_2}{2} , \dfrac{y_1 + y_2}{2} \bigg)}$

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• $\sf{x_1 = 5\: and\: x_2 = 7}$
• $\sf{y_1 = 2 \: and \: y_2 = 4}$

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Putting all the values in the formula.

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$\tt\longrightarrow{P(x,y) = \bigg( \dfrac{5 + 7}{2} , \dfrac{2 + 4}{2} \bigg)}$

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$\tt\longrightarrow{P(x,y) = \bigg( \dfrac{12}{2} , \dfrac{6}{2} \bigg)}$

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$\tt\longrightarrow{P(x,y) = (6 , 3)}$

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Therefore,

• Midpoint of the given line segment is P(6,3).