Question

The midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2), what are the coordinates of B?

Answer 1

Answer:

Coordinates of B is (3,-4)

Step-by-step explanation:$\frac{-7+x^{2} }{2}=-2$

$\frac{2+y^{2} }{2} =-1$

You multiply -2 by 2 to get -4 and then create the equation $-7+x^{2} = -4$ then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)

You multiply -1 by 2 to get -2 and then create the equation$2+y^{2} =-2$ then you subtract 2 by -2 which gives you -4 (y coordinate of B)

To check your answer use the midpoint formula $( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M$

$\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1$   which will give you the midpoint (-2,-1)