9. Use Structure Point K is of the way from |(4,-5) to L(0, -7). a. What are the coordinates of Kif n = 4? b. What is a formula for the coordinates of K for any n?

Dividing the segments, it is found that:
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[tex]K - J = \frac{1}{n}(J - L)[/tex]
And this is the answer to option b.
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Option a:
If [tex]\mathbf{n = 4}[/tex], it has that:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
This is applied to find both the x-coordinate and the y-coordinate of K.
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Thus:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
[tex]x - 4 = \frac{1}{4}(4 - 0)[/tex]
[tex]x - 4 = 1[/tex]
[tex]x = 5[/tex]
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Thus:
[tex]K - J = \frac{1}{4}(J - L)[/tex]
[tex]y - (-5) = \frac{1}{4}(-5 - (-7))[/tex]
[tex]y + 5 = \frac{2}{4}[/tex]
[tex]y = \frac{1}{2} - 5[/tex]
[tex]y = \frac{1}{2} - \frac{10}[2}[/tex]
[tex]y = -\frac{9}{2}[/tex]
The coordinates of K if n = 4 are [tex](5,-frac{9}{2})[/tex]
A similar problem is given at https://brainly.com/question/20847604