Answer: B = (6,-8)
Step-by-step explanation:
first the midpoint formula is [tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:
[tex]\frac{8+x}{2}=7[/tex]
then solve it like an equation:
[tex]8+ x=14\\x=6[/tex]
then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:
[tex]\frac{-6+y}{2} =-7[/tex]
then solve it like an equation:
[tex]-6+y=-14\\y=-8[/tex]
∴ the answer is x=6, y= -8
which is expressed as a point, B(6,-8)
