Respuesta :

frediodoo
ok, i am confused on what this is asking, but remember: to find ratios(rise over run y over x slope m k whatever) subtract two ys and subtract two xs( remember that coordinates go(x,y)) put your answer in y/x form, and that is your constant(ratio)
lublana

Answer:

4:1

Step-by-step explanation:

We are given that

Point L(-2,5) and M(2,-3).

Point Q([tex]\frac{6}{5},\frac{-7}{5})[/tex] partitions LM .

We have to find the ratio in which Q divides the LM.

Let point Q divides the LM in the ratio K:1.

Section formula;[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Substitute the values in the given formula  then we get

[tex]\frac{6}{5}=\frac{2k-2}{k+1}[/tex]

[tex]6k+6=10k-10[/tex]

[tex]6+10=10k-6k[/tex]

[tex]16=4k[/tex]

[tex]k=\frac{16}{4}=4[/tex]

Hence, the point Q divides the LM in the ratio 4:1.

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