Question

Find the midpoints of the segment with the endpoints (3,-1) and(-7,9) ​

Answer 1

Answer:

(-2,4)

Step-by-step explanation:

Let the midpoint of A(3,-1) and B(-7,9) is P(x,y).

Since P is the midpoint of AB, it divides it in the ratio of 1:1

m1=1

m2=1

Using section formula:

P(x,y)=(m1x2+m2x1/m1+m2 , m1y2 +m2y1/m1+m2)

P(x,y)=( 1×(-7) +1×(3)/1+1 , 1×9 +1×(-1)/1+1)

P(x,y)=(-7 +3/2 , 9-1/2)

P(x,y)=(-4/2 , 8/2)

P(x,y)=(-2,4)