coordinate of A and B are given(-2,-2) and (2,-4) respectively, P is a point on line segment AB such that AP=3/7 AB. find the coordinate of P
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Answer:
P(A,B)=[-4/5,-13/5]
Step-by-step explanation:
A(-2,-2)x1=-2,y1=-2
B(2,-4)x2=2,y2=-4
m:n=3:7
therefore by section formula
P(A,B)=[mx2+nx1/m+n,my2+ny1/m+n]
=[3×2+7×(-2)/3+7,3×(-4)+7×(-2)/3+7]
=[6+(-14)/10,(-12)+(-14)/10]
=(-8/10,(-12)(-14)/10)
=[-4/5,-13/5]
therefore P(A,B)=[-4/5,-13/5]
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