Question

Determine the ratio in which the point P (m, 6) divides the join of A(-4, 3) and B(2, 8). Also, find the value of m.

Answer 1

Answer:

m= -2/5

Step-by-step explanation:

For y

Let the ratio be K:1

m1=k ; m2=1

By using section formula

y=(m1y2+m2y1) / (m1+m2)

6=[K(8)+1(3)] / (K+1)

6(K+1)=8K+3

6K+6=8K+3

6-3=8K-6K

3=2K

k=3/2

The ratio is K:1

Then, 3/2 : 1

=3:2

m1=3 ; m2=2

By using section formula

x=(m1x2+m2x1) / (m1+m2)

m=[3(2)+2(-4)] / (3+2)

m=(6-8 )/ 5

m= -2/5