Question

Given the points L(-2,5) and M(2,-3), point Q (6/5 m, -7/5) partitions LM in the ratio

Answer 1

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)

Answer 2

Answer:

4:1

Step-by-step explanation:

We are given that

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

Point Q($\frac{6}{5},\frac{-7}{5})$ 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;$x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Substitute the values in the given formula  then we get

$\frac{6}{5}=\frac{2k-2}{k+1}$

$6k+6=10k-10$

$6+10=10k-6k$

$16=4k$

$k=\frac{16}{4}=4$

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