Determine the ratio in which the point (–6, m) divides the join of a(–3, –1) and b(–8, 9). also, find the value of m.

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = .

But, = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e.

So, the ratio is k : 1 i.e i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, = m where

i.e. m =

i.e. m =

i.e. m =

i.e. m = 5.

Hence, the value of m is 5.

answer: what is the question you're trying to ask?

step-by-step explanation:

i think its doubled. let me know

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