Question

the midpoint of line segment joining (3,-10) and(1,4) is?​

Answer 1

$\bf\huge\blue{\underline{\underline{ Question : }}}$

Find the coordinates of midpoint of line segment joining A(3,-10) and B(1,4).

$\bf\huge\blue{\underline{\underline{ Solution : }}}$

★ Given that,

• The line segment joining the points A(3,-10) and B(1,4).

★ To find,

• The mid point.

★ Formula :

Formula for Mid point is :

$\boxed{\rm{\red{ Mid - point = \Bigg(\cfrac{x_{1} + x_{2}}{2} , \cfrac{y_{1} + y_{2}}{2} \Bigg) }}}$

★ Let,

• x1 = 3 ; y1 = -10
• x2 = 1 ; y2 = 4

$\sf \implies AB = \Bigg( \cfrac{ 3 +1 }{2},\cfrac{-10+4}{2} \Bigg)$

$\sf \implies AB = \Bigg(\cancel{\cfrac{4}{2}},\cancel{\cfrac{-6}{2}} \Bigg)$

$\sf \implies AB = (2,-3)$

$\underline{\boxed{\rm{\purple{\therefore The\:Mid - Point\:of\:joining\:line\:segment : AB = (2,-3).}}}}\:\orange{\bigstar}$