Consider the points A (3,7) and B (11, -5). What are the coordinates of C so that C is on the line segment AB with AC:CB = 7:1? Thanks in advance!!!

1 Answer
Nov 25, 2017

C=(10,72)

Explanation:

given a line with endpoints

A(x1,y1) and B(x2,y2) being sectioned by a point C
in the ratio m:n

then using the section formula

xC=[mx2+nx1m+n,my2+ny1m+n]

here (x1,y1)=(3,7),(x2,y2)=(11,5)

and m:n=7:1

C=[(7×11)+(1×3)7+1,(7×5)+(1×7)7+1]

C=(808,288)=(10,72)