Question

The midpoint M of the line segment AB is (-3,7). If the coordinate of B is (5,-1), what is the coordinate of the point A?

Answer 1

Answer:

Coordinate of Point A is (-11, 15)

Step-by-step explanation:

M -- (-3, 7)

B -- (5, -1)

Therefore, (5 + x)/2  = -3

x = -11

(-1 + y)/2 = 7

y = 15

Therefore Point A is (-11, 15)

Answer 2

Answer:

Solution given;

mid point (x,y)=(-3,7)

coordinate of B(x1,y1)=(5,-1)

coordinate of A(x2,y2)=(a,b)

we have

midpoint (x,y)={(x1+x2)/2,(y1+y2)/2}

(-3,7)={(a+5)/2,(b-1)/2}

equating corresponding value

(a+5)/2=-3

a+5=-6

a=-6-5

a=-11

again

7=(b-1)/2

b-1=14

b=14+1

b=15

So

coordinate of the point A is (-11,15).