Question

Find the midpoint of the line segment with end coordinates of: (−3,−1) and (4,−5) Give coordinates as decimals where appropriate.​

Answer 1

Given:-

• A = ( - 3, -1)

•B = (4, -5)

To find:-

• Midpoint of the line segment, C

Solution:-

$\sf Here$

_________________

$\sf x_1 = -3$

$\sf x_2 = 4$

$\sf y_1 = -1$

$\sf y_2 = -5$

________________

$\star\;{\boxed{\sf{\purple{Midpoint\;formula = \dfrac{ x_1 + x_2 }{2} \;and\; \dfrac{ y_1 + y_2 }{2} }}}}$

$\underline{\:\textsf{ Now, put the given values :}}$

$\dashrightarrow \;\;\sf \dfrac{ x_1 + x_2 }{2} \\\\ \dashrightarrow \sf \dfrac{-3 + 4}{2} \\\\ \dashrightarrow \sf \dfrac{1}{2} \\\\ \dashrightarrow \bf {\underline{\boxed{\bf{\purple{0.5}}}}} \\ \\ \\ \\ \\ \dashrightarrow \;\;\sf \dfrac{ y_1 + y_2 }{2} \\ \\\dashrightarrow \sf \dfrac{-1 + (-5)}{2} \\\\ \dashrightarrow \sf \dfrac{-6}{2} \\\\ \dashrightarrow \bf {\underline{\boxed{\bf{\purple{-3}}}}}$

$\therefore\;{\underline{\sf{Hence,\;the\;mid\;point\;of\; C\;is\;\bf{0.5\;and\;-3}.}}}$

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Answer 2

Answer:

the answer is ( 3.5 , 0.5 )

hope it helps

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