Question

A line segment has endpoints (−3,−14) and (7,6) Which point could partition the line segment into the ratio 1:4?

Answer 1

• m:n=1:4

`\\ \sf\longmapsto P(x,y)=\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)`

`\\ \sf\longmapsto P(x,y)=\left(((1)(-14)+(4)(-3))/(1+4),((1)(7)+(4)(6))/(1+4)\right)`

`\\ \sf\longmapsto P(x,y)=\left((-26)/(5),(31)/(5)\right)`