Question

Can someone help me please

Answer 1

The slope of the line segment CD is ( -
`(8)/(9)` )

Explanation:

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

Coordinates of the midpoint are

(
`(x_(1) +x_(2) )/(2)` ,
`(y_(1) +y_(2) )/(2)` )

The slope of a line segment with coordinates of the ends

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

is m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

~~~~~~~~~~~~~

Point D is the midpoint of a segment AB

A ( 4 , 12 )

B ( - 6 , - 8 )

(
`(-6+4)/(2)` ,
`(-8+12)/(2)` ) = ( - 1 , 2 )

D ( - 1 , 2 )

C ( 8 , - 6 )

`m_(CD)` =
`(-6-2)/(8-(-1))` = -
`(8)/(9)`