Question

The midpoint of the line segment from P1 to P2 is (−5,6). If P1=(−5,4)​, what is P2?

Answer 1

P1(-5,4)=(x1,y1)

mid point(-5,6)=(x,y)

P2=(x2,y2)=?

midpoint =(x1+x2/2,y1+y2/2)

-5+x2/2=-5

-5+x2=-10

x2=-10+5

x2=-5

4+y2=6

y2=6-4

y2=2

P2=(x2,y2)=(-5,2)

Answer 2

Answer:

P2 = (-5,8)

Step-by-step explanation:

Given: P1 = ( -5 , 4 )

X1 Y1

mid points (-5,6)

X Y

P2 = (X2,Y2)

X = (X1+X2)/2 Y = (Y1+Y2)/2

-5 = (-5+X2)/2 6 = (4+Y2)/2

-5+X2 = -10 4+Y2 = 12

X2 = -5 Y2 = 8

Therefore,P2 = (-5,8)