Question

if P(a/3,5) is the midpoint of the line segment joining the points A(-7,3) and B(-3,7), then the value of a is​

Answer 1

Answer:

-15

mid point is avg. of their x coordinates

Answer 2

Given:

if P(a/3,5) is the midpoint of the line segment joining the points A(-7,3) and B(-3,7)

To Find:

The value of a is

Solution:

It is given that two points A and B has a midpoint with some unknown coordinate we need to find the value of the coordinate,

as it is given that the point P is midpoint then the coordinates of the point P is just the average of the points of A and B and the average is taken separately for the x and y coordinate

If the points are (x1,y1) and (x2, y2) then the coordinates for midpoint will be [(x1+x2)/2,(y1+y2)/2]

So putting the values of x to find the value of a

$\frac{a}{3} =\frac{-7-3}{2} \\a=-15$

Hence, the value of a is -15.