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=$\frac{ k_{1} x_{B}+ k_{2} x_{A} }{ k_{1} + k_{2} }$$\frac{ k_{1} y_{B} + k_{2} y_{A} }{ k_{1} + k_{2} }$