Question

K is the midpoint of HL. H has coordinates (1, -7), and K has coordinates (9, 3). Find the coordinates of L.

Answer 1

Explanation:

H(1 , -7) ;L(x₂,y₂)

`Midpoint =\left((x_(1)+x_(2))/(2), (y_(1)+_(2))/(2) \right)\\\\\\K(9 , 3)=\left((1+x_(2))/(2), (-7+y_(2))/(2) \right)`

Compare x and y coordinates,

`(1+x_(2))/(2)=9` ;
`(-7+y_(2))/(2)=3`

1 + x₂ = 18 ; -7 + y₂ = 6

x₂ = 18 - 1 ; y₂ = 6 +7

x₂ = 17 ; y₂ = 13

L(17, 13)