Question

Given the points A(3,2)and B(7,-6) what is the point halfway between A and the midpoint of AB?

Answer 1

Given:

`A(x_1,y_1)=(3,2),B(x_2,y_2)=(7,-6)`
`\text{Mid point of AB=(}(x_1+x_2)/(2),(y_1+y_2)/(2))`
`\text{Mid point of AB=(}(3+7)/(2),(2-6)/(2))`
`\text{Mid point of AB=(}(10)/(2),-(4)/(2))`
`\text{Midpoint of AB=(5,-2)}`

Halfway between the A and the midpoint of AB

`((3+5)/(2),(2-2)/(2))`
`((8)/(2),(0)/(2))`
`(4,0)`

Halfway between the A and the midpoint of AB is (4,0)