Question

If A(m/3,5)is the mid-point of the line segment joining the points Q (– 6, 7) and R (– 2, 3), then the value of m is __________.
Please tell the answer with explanation!

Answer 1

Answer:

❀ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ:

Given that the two points are Q (-6, 7) and R (-2, 3)

Also given that A(m/3, 5) is the midpoint of the given line segment.

The midpoint A of the line QR is a point on the line that is equidistant from both the points Q and R.

We can find the value of m by using the midpoint theorem as follows :

$\text { midpoint }=\left(\frac{x_{1}+x_{2}}{2}\right),\left(\frac{y_{1}+y_{2}}{2}\right)$

Now substituting the values

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

$( \frac{m}{3}, 5 ) = ( \frac{8}{2}, \frac{10}{2} )$

$( \frac{m}{3} ,5) = (4,5)$

on comparing we get ,

$\frac{m}{3} = 4$

hence , the value of m is -12

$\sf\blue{hope \: this \: helps \: you!! \: }$

Answer 2

Step-by-step explanation:

If A(m/3,5)is the mid-point of the line segment joining the points Q (– 6, 7) and R (– 2, 3), then the value of m is __________.

Please tell the answer with explanation!