Question

Line AB is drawn from A(0,10) to B(-7,-4). Find point C that partitions line AB in ratio 5:2

a) (-2,6)
b) (-3.5, 3)
c) (-5,0)
d) (-6,-2)

Answer 1

c) (-5, 0)

Working;
Use the formula;
x coordinate=
`( k_(1) x_(B)+ k_(2) x_(A) )/( k_(1) + k_(2) )`
`( k_(1) y_(B) + k_(2) y_(A) )/( k_(1) + k_(2) )`