Question

answer this slow...7. distance formula

Answer 1

Let take that

co-ordinate of B as ( X2,Y2)

m : n = 3 : 4

m = 3. n = 4

we know formula ,

(x,y) = ( mx2 + nx1/m+n , my2 + ny1/m+n )

(-1,2) = ( 3X2 +4(2)/3+4 , 3Y2+4(5)/3+4 )

(-1,2) = (3X2 + 8/7 , 3Y2+20/7 )

compare both side
so



-1 = (3X2 + 8)/7

(cross multiplication )
-7 = 3X2 + 8

-7 = 3X2 + 8

-7-8 = 3X2

-15 = 3X2

-15/3 = X2

-5 = X2




2 = (3Y2 + 20)/7

(cross multiplication)

14 = 3Y2 + 20

14-20 = 3Y2

-6 = 3Y2

-6/3 = Y2

-2 = Y2

so , the co-ordinate of B point is
(X2,Y2) = (-5,-2)