Question

The midpoint of the line segment joining the points (-6,5)&(-2,3)is (a/3,4),then a=

Answer 1

this is the correct answer

Answer 2

The value of a is -12.

Step-by-step explanation:

Formula for midpoint

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

It is given that the midpoint of the line segment joining the points (-6,5)&(-2,3) is (a/3,4).

Midpoint of (-6,5)&(-2,3) is

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

$Midpoint=(\frac{-8}{2},\frac{8}{2})$

$Midpoint=(-4,4)$

Midpoint of (-6,5)&(-2,3) is (a/3,4).

$(\frac{a}{3},4)=(-4,4)$

On comparing x-coordinate of both sides.

$\frac{a}{3}=-4$

Multiply both sides by 3.

$a=-12$

Therefore, the value of a is -12.

#Learn more

If (n/3,4) is the midpoint of the line segment joining the points A(-6,5) & B(-2,3), then find the value of n.

https://brainly.in/question/7753151

Find the co-ordinate of the midpoint of the line segment joining (2,3) and (4,7).

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