Question

find the ratio in which the y axis divides the line segment joining the points 5, -2 and -1, - 4 also find the point of intersection

Answer 1

ratio is K:1 point is p(0,y)

using section formula ratio is

m:n=K:1
section formula for point x

${mx2 + nx1 \div m + n}$
by substituting values
K(-1)+1(5)÷K+1=0
-K+5÷K+1=0
-K+5=0
-K=-5
so K=5

section formula for point y
$my2 + ny1 \div m + n$
substituting values
5(-4)+1(-2)÷5+1=y
-20-2÷6=y

Answer 2

Answer:

ratio is K:1 point is p(0,y)

using section formula ratio is

m:n=K:1

section formula for point x

{mx2 + nx1 \div m + n}mx2+nx1÷m+n

by substituting values

K(-1)+1(5)÷K+1=0

-K+5÷K+1=0

-K+5=0

-K=-5

so K=5

section formula for point y

my2 + ny1 \div m + nmy2+ny1÷m+n

substituting values

5(-4)+1(-2)÷5+1=y

-20-2÷6=y