F is located on the numbe<u>r 4.5</u><u> </u>on the number line.
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Where does point F lie on the number line?</h3>
We know that point D is at -6
Point E is at 8.
Point F is between D and E, such that the ratio:
DF:FE is 3:1
So if we divide the distance between D and E in 4 parts, 3 of these parts are DF, and one of these parts is FE.
First, the distance between E and D is:
distance = 8 - (-6) = 14 units.
Now, if we divide that by 4, we get:
14/4 = 3.5
Then we have:
DF = 3*(3.5) = 10.5
This means that F is at 10.5 units to the right of D, then:
F = D + 10.5 = -6 + 10.5 = 4.5
F is located on the numbe<u>r 4.5</u><u> </u>on the number line.
If you want to learn more about ratios:
brainly.com/question/2328454
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