Answer:
The coordinates for point a will be (5,0)
Step-by-step explanation:
a=(xa,ya)=?→xa=?, ya=?
b=(-3,4)=(xb,yb)→xb=-3, yb=4
Midpoind: m=(1,2)=(xm,ym)→xm=1, ym=2
1) xm=(xa+xb)/2
Replacing the known values:
1=(xa+(-3))/2
1=(xa-3)/2
Solving for xa: Multiplying both sides of the equation by 2:
2(1)=2(xa-3)/2
2=xa-3
Adding 3 both sides of the equation:
2+3=xa-3+3
5=xa
xa=5
2) ym=(ya+yb)/2
Replacing the known values:
2=(ya+4)/2
Solving for ya: Multiplying both sides of the equation by 2:
2(2)=2(ya+4)/2
4=ya+4
Subtracting 4 both sides of the equation:
4-4=ya+4-4
0=ya
ya=0
a=(xa,ya)→a=(5,0)
