Question

In what ratio does the x axis divide the line segment joining the points (- 4 - 6) and (-1,7)

Answer 1

let the ratio be m:n

by section formula

x= mx2 + nx1÷m+n. y = my2+ny1 ÷m+n
a = m(-1) + n-4÷ m+n. 0 = 7m -6n ÷ m+n
a = -m -4n÷m+n. 0(m+n) = 7m-6n
0 = 7m - 6n

6n = 7m
6÷7 = m:n

so the ans is 6:7