Question

Find the midpoint of the line segment joining ( 2,8 ) and ( 6-7 ) ?​

Answer 1

Answer:

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Step-by-step explanation:

$let , \: the \: mid-point \: joining \\ \: the \: line \: segment \: be \: P(x,y).$

$Here , \: x1 = 2 \: \: \: , y1 = 8$

$and, \: x2 = 6 \: \: \: \: \: \: , y2 = -7$

$By \: mid - point \: formula \: , we \: get :$

$X = \frac{x1+x2}{2}$

$=> X = \frac{2 + 6}{2}$

$= \frac{8}{2} = 4$

$Now, \: Y = \frac{y1+y2}{2}$

$=> Y = \frac{8+(-7)}{2}$

$= \frac{8 - 7}{2} = \frac{1}{2}$

$therefore , \: the \: mid-point \\ \: of \: the \: line \: \\ segment \: joining \: the \: \\ points \: is \: (4, \: \frac{1}{2} ).$

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