Question

find the coordinates of a point P on the line segment joining A(1,2) andB(6,7) in such a way that AP=⅖AB​

Answer 1

Step-by-step explanation:

the line segment is divided in the ratio 2:3

the coordinates of p are

m1x2+m2x1. m1y2+m2y1

——————— , ————————

m1+m2 m1+m2

where m1 = 2 .m2=3

X1= 1. X2 =6. y1= 2. y2=7

m1x2+m2x1.

——————

m1+m2

2×6 +3×1.

———————

2+3.

= 12+3/5=15/5=3

m1y2+m2y1.

——————— =

m1+m2

2×7+3×2. 14+6.

——————— = —————=.

2+3. 5

20/5=4

the coordinates are

p(3,4)