Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Using Midpoint and Distance Formulas

Using Midpoint and Distance Formulas 1.13 - Solution

arrow_back Return to Using Midpoint and Distance Formulas

Let's begin with graphing the segment KM\overline{KM} on a coordinate plane.

We want to find point QQ so that the ratio between KQKQ and KMKM is 25.\frac{2}{5}. KQKM=25 \dfrac{KQ}{KM} =\dfrac{2}{5} To make this happen, we should place QQ so that it lies on the segment and is 25\frac{2}{5} of the way from KK to M.M. Notice that we can divide the segment KM\overline{KM} into 55 equal segments as shown below.

Therefore, 25\frac{2}{5} of this distance is like moving along the segment by 22 of these squares.

We can tell that the coordinates of the point QQ are (1,1).(1,1).