Question

what is midpoint of the line segment joining the points (-3, 3) and (-1, 7)

Answer 1

Correct Question:-

what is midpoint of the line segment joining the points (-3, 3) and (-1, 7)

To Find:-

• Mid point of line segment

Given:-

• The points are : (-3, 3) and (-1, 7)

Solution:-

$\boxed{ \star \: \: \: \: \: { \large{ \rm{ coordinates \: of \: mid \: points = ( \frac{ x_{1} - x_{2} }{ 2 } )</u><u>,</u><u>( \frac{y_{1} -y _{2} }{2} )}}}}$

According to question,

• $\large{ \rm{ x_{1} = - 3}}$
• $\large{ \rm{ x_{2} = - 1}}$
• $\large{ \rm{ y_{1} = 3}}$
• $\large{ \rm{ y_{2} = 7}}$

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \: coordinates \: of \: mid \: point = ( \frac{ - 3 -( - 1)}{ 2 } ),( \frac{3 -7}{2} )}$

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \: coordinates \: of \: mid \: point =( \frac{ - 3 + 1}{2} ),( \frac{ - 4}{2} )}$

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \: coordinates \: of \: mid \: point =( \frac{ - 2}{2}),( - 2)}$

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \boxed{ \sf{ \red{ coordinates \: of \: mid \: point =( - 1 ,- 2)}}}}$

Hence:-

• The coordinates are (–1,–2)