What are the coordinates of point P, that lies 1/515 of the way from A(-7,-35)A(−7,−35) to B(8, -5)B(8,−5)?

1 Answer
CW
Apr 27, 2018

P=(-4,-29)P=(−4,−29)

Explanation:

Section formula :
If a point P(x,y)P(x,y) divides a line segment joining A(x_1,y_1) and B(x_2,y_2)A(x1,y1)andB(x2,y2) in the ratio m:nm:n, i.e., AP:PB=m:nAP:PB=m:n,
then P(x,y)=((mx_2+nx_1)/(m+n), (my_2+ny_1)/(m+n))P(x,y)=(mx2+nx1m+n,my2+ny1m+n)
Given AP:PB=m:n=1/5:4/5=1:4AP:PB=m:n=15:45=1:4
=> P(x,y)=(((1xx8)+(4xx-7))/(1+4)," " ((1xx-5)+(4xx-35))/(1+4))⇒P(x,y)=((1×8)+(4×−7)1+4, (1×−5)+(4×−35)1+4)
=(-4,-29)=(−4,−29)
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