Question

if (m/2,5) is the midpoint of the line segment joining the line Q(-6, 7) and R(-2, 3) then find the value of m​

Answer 1

$\textbf{Concept used:}$

$\textbf{Midpoint formula:}$

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

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

$\textbf{Given:}$

$\text{The midpoint of (-6,7) and (-2,3) is}\;(\frac{m}{2},5)$

$\text{Using midpoint formula, we get}$

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{m}{2},5)$

$(\frac{-6+(-2)}{2},\frac{7+3}{2})=(\frac{m}{2},5)$

$(\frac{-8}{2},\frac{10}{2})=(\frac{m}{2},5)$

$(-4,5)=(\frac{m}{2},5)$

$\text{Equating the corresponding on bothsides, we get}$

$\frac{m}{2}=-4$

$\implies\boxed{\bf\,m=-8}$

$\therefore\textbf{The value of m is -8}$

Find more:

1.Coordinates of the midpoint of the line segment joining the point (3, 7) and (5, 9) is​

https://brainly.in/question/15791710

2.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) ​

https://brainly.in/question/15816454

Answer 2

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