Question

Find the coordinates of the point which divides the line segment joining the points (-1, 4) and (0, - 3) in the ratio 1 : 4 internally.

Answer 1

Let P(x,y) be the required point.

P divides AB internally in the ratio 1:4

Here, m1=1, m2 = 4 , x1= -1, y1= 4, X2=0 , y2= -3

By section Formula

P(x,y) = P(( m1x2 + m2x1)/m1+m2, (m1y2+m2y1)/m1+m2))

P( 1×0 + 4×(-1))/1+4, (1×(-3) +4× 4)/1+4

P( 0 - 4)/5 , (-3+16)/5

P( -4/5, 13/5)

Hence, ( -4/5, 13/5) is the required Point

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Hope this will help you....