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

4:1

Explanation:

We are given that

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

Point Q(
`(6)/(5),(-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=(m_1x_2+m_2x_1)/(m_1+m_2),y=(m_1y_2+m_2y_1)/(m_1+m_2)`

Substitute the values in the given formula then we get

`(6)/(5)=(2k-2)/(k+1)`

`6k+6=10k-10`

`6+10=10k-6k`

`16=4k`

`k=(16)/(4)=4`

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