Answer:
B(7,-8)
Step-by-step explanation:
Coordinates of m (3,-2)
Coordinates of A (-1,4)
We need to find the coordinates of point B if m is the midpoint of AB. Let the midpoints be (x,y).
Mid-point formula is :
[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
So,
[tex](3,-2)=(\dfrac{-1+x}{2},\dfrac{4+y}{2})\\\\\text{It means,}\\\\\dfrac{x-1}{2}=3\ \text{and}\ \dfrac{4+y}{2}=-2\\\\x-1=6\ \text{and}\ 4+y=-4\\\\x=7\ \text{and}\ y=-8[/tex]
So, the coordinates of B is (7,-8).
