Question

I’m confused on what to do here. Please help!

Answer 1

Answer:(2.5,3.5),(-3,5),(-1,7.5),(1.5,-2),(-1.5,-7.5)

Explanation:

Mid point of the line with ends
`(x_(1),y_(1))` and
`(x_(2),y_(2))` is given by
`((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))`.

Option A:

`(x_(1),y_(1))=(1,2)`

`(x_(2),y_(2))=(4,5)`

the coordinates of midpoint are
`((1+4)/(2) ,(2+5)/(2))=(2.5,3.5)`

Option B:

`(x_(1),y_(1))=(-8,6)`

`(x_(2),y_(2))=(2,4)`

the coordinates of midpoint are
`((-8+2)/(2) ,(6+4)/(2))=(-3,5)`

Option C:

`(x_(1),y_(1))=(3,9)`

`(x_(2),y_(2))=(-5,6)`

the coordinates of midpoint are
`((3-5)/(2) ,(9+6)/(2))=(-1,7.5)`

Option D:

`(x_(1),y_(1))=(6,0)`

`(x_(2),y_(2))=(-3,-4)`

the coordinates of midpoint are
`((6-3)/(2) ,(0-4)/(2))=(1.5,-2)`

Option E:

`(x_(1),y_(1))=(-2,-8)`

`(x_(2),y_(2))=(-1,-7)`

the coordinates of midpoint are
`((-2-1)/(2) ,(-8-7)/(2))=(-1.5,-7.5)`