Question

the diagram of lunar eclipse with the position of sun earth moon is shown by (-4,6) , (k,-2) , (5,-6) find the value of k​

Answer 1

formula of area

$1 \div 2 |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|$

area =0(coliner points)

-4(-2+6)+k(-6-6)+5(6+2)=0

-16-k12+40=0

-k12+24=0

k12=24

k = 2