Question #249219

find the coordinates of the point L that divides segment MN into a ratio of ML:LN to 1:3; M(-4,0) and N(0,4). Write your answer in coordinate form (x,y)


1
Expert's answer
2021-10-11T12:27:04-0400

Let the coordinates of point LL be (x,y).(x,y).

Given that ML:LNML:LN is 1:31:3 .

Using section formula, we get:

(x,y)=(12+04,0+43)x=3,y=43(x,y)=(\frac{-12+0}{4},\frac{0+4}{3})\\ \therefore x=-3,y=\frac{4}{3}

So, coordinates of point LL be (3,43).(-3,\frac{4}{3}).


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