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J(-6-2)3-*NWMark this and return2--9-8-7-6-5-4-3-2-3₁ 1 2 3 4 5 61-5737-2-cd-6--7--8-2 do-9--10--11--12--13-8 9 10 11 xK(8,-9)What is the x-coordinate of the point that divides thedirected line segment from J to K into a ratio of 2:5?X == (m²²7 m )(x₂ − ×₁) + X₁m+n0 000-22Save and ExitNextSubmit

J623NWMark this and return2987654323 1 2 3 4 5 6157372cd6782 do9101112138 9 10 11 xK89What is the xcoordinate of the point that divides thedirected line segment class=

Respuesta :

Use the given formula:

[tex]x=(\frac{m}{m+n})(x_2-x_1)+x_1[/tex]

Being m: 2 and n: 5

x1: -6

x2: 8

[tex]\begin{gathered} x=(\frac{2}{2+5})(8-(-6))+(-6) \\ \\ x=\frac{2}{7}*(14)-6 \\ \\ x=4-6 \\ \\ x=-2 \end{gathered}[/tex]Then, the x-coordinate of th point that divides the directed line segment from J to K into a ratio 2:5 is -2Answer: -2

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