Question

Given point B(-1,-5) is the midpoint of points A and C(4, -1). Find the coordinates of A.
Thank you for everyone help me:)

Answer 1

Answer:

mid point formula is :

$((\frac{x_{1}+x_{2} }{2} ),(\frac{y_{1}+y_{2} }{2} ))$

and B (-1,-5) is the mid point of AC.

Assuming that x2 and y2 are coordinates of C, so x2 = 4 and y2 = -1

$\frac{x_{1}+x_{2} }{2} = -1\\\frac{x_{1}+4}{2} = -1\\ x_{1} + 4 = -2\\ x_{1} = -6$

and again,

$\frac{y_{1}+y_{2} }{2} = -5\\y_{1} + (-1) = -10\\{y_{1} -1 = -10\\\\{y_{1} = -9$

coordinates of A (-6,-9)