If point P is 4/7 of the distance from M to N, then point P partitions the directed line segment from M to N into a __?__ ratio. 4:1 4:3 4:7 4:11

Letx-------> the distance MNwe know that[tex]MP=\frac{4}{7}x \\\\PN=\frac{3}{7}x[/tex]Find the ratio [tex]MP:PN[/tex][tex]ratio=\frac{MP}{PN} \\ \\ratio= \frac{(4/7)x}{(3/7)x} \\ \\ratio= \frac{4}{3}[/tex]thereforethe answer is[tex]4:3[/tex]