A segment with endpoints F (4,9) and G (7,2) is divided by point H such that FH and GH form a 1:3 ratio. Find the y value for H.
a) 6.75
b) 7.25
c) 8.25
d) 5.75
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OpenStudy (anonymous):
a
OpenStudy (anonymous):
cab I have a medal it helps
OpenStudy (anonymous):
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OpenStudy (anonymous):
solve it by using ratio formula
y = (k2y1+k1y2)/ki+k2
where k1=1 & k2=3 & y1=9 & y2=2
OpenStudy (anonymous):
I got -14.5...@israr000 is that correct?
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OpenStudy (anonymous):
well i have solved it & got b option i.e. 7.25
OpenStudy (anonymous):
This is actually pretty easy. If the ratio is 1:3, then the coordinate is 1/4 of the line from F. You can find the midpoint of the line, which is (5.5,5.5). Then, find the midpoint of F and your midpoint. You get (4.75, 3.75). So, your y coordinate for H should be 3.75.
OpenStudy (anonymous):
[3(9)+1(2)]/1+3
OpenStudy (anonymous):
solve this u will get 7.25 i.e. b option...
OpenStudy (anonymous):
ok, got it! thank you @israr000
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