Question

How do you find the midpoint of the line segment joining (4,2) and (8, -1)?

Answer 1

`(6,1/2)`

Explanation:

`"given the endpoints of a line segment, say"`

`(x_1,y_1)" and "(x_2,y_2)`

`"then the midpoint is"`

`•color(white)(x)[1/2(x_1+x_2),1/2(y_1+y_2)]`

`"let "(x_1,y_1)=(4,2)" and "(x_2,y_2)=(8,-1)`

`"midpoint "=[1/2(4+8),1/2(2-1)]`

`color(white)("midpoint ")=[1/2(12),1/2(1)]=(6,1/2)`