in what ratio does the x-axis divide the segment joining the points (-4,-6) and (-1,7), also find the coordinates of point of division

let the ratio be k:1

a(-4 , -6)

p(x,0)

b(-1,7)

now, x = -1k -4 / k+1

0 = 7k -6 / k+1

7k = 6

k = 6/7

therefore, the ratio is 6:7