Answer:
The coordinates of point B are (5,-3)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
In this problem
Point A is at (-5, -4) and point M is at (0, -3.5)
[tex]point\ A=(x_1,y_1)\\point\ B=(x_2,y_2)\\point\ M=(0,-3.5)[/tex]
substitute in the formula
[tex](0,-3.5)=(\frac{-5+x_2}{2},\frac{-4+y_2}{2})[/tex]
so
Solve for x_2
[tex]0=\frac{-5+x2}{2}\\x_2=5[/tex]
Solve for y_2
[tex]-3.5=\frac{-4+y_2}{2}\\-7=-4+y_2\\y_2=-3[/tex]
therefore
The coordinates of point B are (5,-3)
