Question

in what eatio does the point (24/11,y) divide the line segment joining the points p(2,-2) and q(3,7)?Also find the value of y

Answer 1

let the ratio in which this point divide the line segment pq = m:n
24/11=(3m+2n)/(m+n)
24m + 24n = 33m + 22n
9m = 2n
m/n = 2/9
m:n = 2:9  answer
y=(7m-2n)/(m+n)
 =(7m/n - 2)/(m/n +1)
 =(14/9 - 2)/(2/9 + 1)
 =(-4/9)/(11/9)
 =-4/11  answer