If A and B are two are two points having coordinates (-2,-2) and (2,-4) respectively,
find the coordinates of point P such that AP= 3/7AB.
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A(2,-2) . 3 P (x,y) 4 B(2,-4)
7AP = 3a
7AP=(Ap+pB) 7 ap= 3Ap+3PB
7 Ap-3AP= 3PB
4AP=3PB
Ap/Pb. =3/4
Step-by-step explanation:
Let the coordinates of P be x,y .Then ,
x= m1x2 + m2x1 / m1+m2
= (3) (2) + (4) (-2) /3+4
= 6-8/7=-2/7
y= m1 y2 + m2y1 /m1+m2
=(3) (-4)+(4)(-2)/3+4
=-12-8 =-20/7
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