Question

Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6)

Answer 1

Answer:

=> x(2, 4)

Step-by-step explanation:

In the question, It is given that x coordinates splits the line segment formed by point A(4,3) and B(-2,6) in half.

that is, In ratio 1:2

Then,

m1 = 1, x1 = 4 , x2 =-2

m2 =1, x2 = 3 , x2 = 6

By Section Formula,

The coordinate of x = { [(m1)(x2)+(m2)(x1)/m1+m2] ,

[(m1)(x2)+(m2)(x1)/m1+m2] }

=> x = { [ 1(-2) +(2)(4)/1+2] , [ 1(6) + 2(3)/ 1+2] }

=> x = { (-2)+ 8/3 , 6+6/3}

=> x = { 6/3, 12/3}

=> x = { 2, 4}

Hence, the value for the point that splits the line segment AB in half is (2, 4).

Hope this helped you..........