Question

find the coordinates of 5he points which divides the join of (-1,7) and (4,-3) in the ratio 2:3
​

Answer 1

Answer:

Step-by-step explanation:

ANSWER

We know that, the coordinates of the point dividing the line segment joining the points x1​,y1​ and x2​,y2​ in the ratio m:n is given by (m1​+m2​1m1​x2​+m2​x1​​,m1​+m2​m1​y2​+m2​y1​​)

Given (x1​,y1​)=(−1,7); (x2​,y2​)=(4,−3) 

(m1​,m2​)=2:3

Coordinates of point of intersection of line segment is

(2+3(2)(4)+(3)(−1)​,2+3(2)(−3)+(3)(7)​)

=(5/5,15/5)

=(1,3)