The coordinate of point W should be -4 or point C such that the ratio of AW to WF is 1:3
How to solve
Given data
ratio 1:3
the ratio implies every unit WF is equal to 3 x AW.
hence every unit of AW multiplied by 3 gives WF
using equivalent of fractions in the comparison as follows
1 : 3 = 2 : 6 = 3 : 9
comparing 3 : 9 gives
For point A
Point A = - 7
point A + 3 = -7 + 3 = - 4 = point C
For point F
point F = 5
point F - 9 = 5 - 9 = - 4 = point C
[tex]\frac{AW}{WF} = \frac{|+3|}{|-9|} = \frac{AC}{FC}[/tex]
Hence the coordinate of point W should be -4 or point C such that the ratio of AW to WF is equal to 1:3
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