M(3,2) is the midpoint of segment ab. b(-2,5). what are the coordinates of a

The required points of the given line segment  are ( 8, -1 ).

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 3, 2 ) and point B is ( -2, 5), then we have to find point A of the line segment AB-

As we know that-

If a line segment AB is with endpoints ( ) and  ( )then the mid points C are-  

C = ( , )

Here,

Let A ( x, y ), B ( -2, 5 ) with midpoint M ( 3, 2 )-

then by the midpoint formula C are-

( 3, 2 )  = (  ,   )

On comparing x coordinate and y coordinate -

We get,

( = 3  , = 2)

( x - 2 = 6, y + 5 = 4 )

( x = 6 + 2, y = 4 - 5 )

( x = 8, y = -1 )

Hence the required points  A are (8, -1 ).

We can also verify by putting these points into Midpoint formula.