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Step-by-step explanation:
Points are A(1,2)=(X1,y1) and (6,7).=(X2,y2)
AP=2/5AB
AP/AB=2/5
AP=2, AB=5.
BP=AB-AP=5-2=3.
AP:BP=2:3.
Point P divides line segment AB in the ratio 2:3.
Section formula:
p(x,y)=[m1x2+m2x1/M1+m2, m1y2+m2y1/M1+m2]
=>[2×6+3×1/2+3, 2×7+3×2/2+3]
=>[12+3/5, 14+6/5]
=>[15/5, 20/5]
point P=(3,4).
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