Question

What are the coordinates of the point on the directed line segment from (-9, 8)(−9,8) to (-2, -6)(−2,−6) that partitions the segment into a ratio of 1 to 6?

Answer 1

Explanation:

Answer 2

Explanation:

let (x,y) be the required points.

`x=(nx1+mx2)/(m+n) \\y=(ny1+my2)/(m+n)\\x=(6*(-9)+1*(-2))/(1+6)\\x=(-56)/(7)=-8\\y=(6*(8)+1*(-6))/(1+6) \\y=(-42)/(7)=-6\\\\point~is~(-8,-6)`