Question

Find the ratio in which the point(-2,y) divides the line xegment joining the points A(-3,2) and B(3,7). Also find the value of y

Answer 1

Answer:

1:5 and y=17/6

Step-by-step explanation:

let the ratio be m1:m2

A(-3,2)=x1,y1. B(3,7)=x2,y2

x=m2x1+m1x2/m1+m2

-2=m2*-3+m1*3/m1+m2

-2m1-2m2=-3m2+3m1

-2m2+3m2=3m1+2m1

1m2=5m1

m2/m1=5/1

y=5*2+1*7/5+1

y=10+7/6

y=17/6

Answer 2

Answer is 1:5 and y=17/6