Question

the mid points of the line segment joining the points (-5,7) and (-1,3) is a) (-3, 7) b) (-3, 5) C) (-1, 5) d) (5, -3) ​

Answer 1

$\textbf{Concept used:}$

$\textbf{Midpoint formula:}$

$\text{The midpoint of the line joining (x_1,y_1) and (x_2,y_2) is}$

$\bf(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$\text{Using the midpoint formula,}$

$\text{The midpoint of the line segement joining (-5,7) and (-1,3) is}$

$\bf(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$=(\frac{-5+(-1)}{2},\frac{7+3}{2})$

$=(\frac{-6}{2},\frac{10}{2})$

$=(-3,5)$

$\therefore\textbf{The midpoint of the line segment joining (-5,7) and (-1,3) is (-3,5)}$

$\implies\,\textbf{Option (b) is correct}$

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