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
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)