Question

Find the mid-point of the line segment joining the points : (1/2,-3/7) and(3/2 ,-11/7)

Answer 1

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Solution

Answer 2

Answer:-

Mid point is (1 ,-1)

Step - by - step explanation:-

Formula used:-

We know that the mid point formula,

$mid \: poin t \: = \bigg( \: \frac{ \: x_1 + \: x_2 \: }{2} \: , \frac{ \: y_1 + \: y_2 }{2} \bigg)$

Solution :-

According to the question,

$given \: points \rightarrow \: \: \: ( \frac{1}{2} \: , \frac{ - 3}{7} ) \: and \: \: ( \frac{3}{2} \: , \frac{ - 11}{7} ) \\ \\ let \: \\ x_1 = \frac{1}{2} \: , \: y_1 = \frac{ - 3}{7} \\ \\ x_2 = \frac{3}{2} \: ,\: y_2 = \frac{ - 11}{7} \\ \\ let \: mid \: point \: \: is \: (x ,\: y)$

Now apply the given formula of mid point.

$\implies \: (x ,\: y) = \bigg( \frac{ \frac{1}{2} + \frac{3}{2} }{2} \: ,\: \frac{ \frac{ - 3}{7} + \frac{ (- 11)}{7} }{2} \bigg) \\ \\ \implies \: (x ,\: y) = \bigg( \: 1 \: ,\frac{ \frac{ - 14}{7} }{2} \bigg) \\ \\ \implies \: (x ,\: y) = ( \: 1 \: , - 1)$

Hence mid point is (1 ,-1)