Question

find the coordinates of the point which divides the join of (-1,7) and(4,-3) in the ratio 2:3​

Answer 1

Step-by-step explanation:

let A(-1,7) and B(4,-3)

let C(x,y)

C(mx2+nx1/m+n,my +ny2/m+n)

C(2×4+3×-1/2+3, 2×-3+3×7/2+3)

C(8-3/5, -6+21/5)

C(5/5, 15/5)

C(1,3)

Answer 2

Let A(-1, 7), B(4, -3)and c(x, y)

Step-by-step explanation:

distance formula = x=m1x2+m2x1/m1+m2

Here, m1=2, m2=3, x1=-1, x2=4, y1=7, y2=-3

x=2*4+3*-1/2+3=8-3/5=5/5=1

y=m1y2+m2y1/m1+m2=2*-3+3*7/2+3 =-6+21/5=15/5=3

Thus the coordinates c=(1, 3)