Question

Please help!
I need the answer to this geometry question.
Please
10 points

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -3}{2}~~~ ,~~~ \cfrac{ y +3}{2} \right) ~~ = ~~\stackrel{\textit{\large Midpoint} }{(-5~~,~~1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -3 }{2}=-5\implies x-3=-10\implies \boxed{x=-7} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +3 }{2}=1\implies y+3 = 2\implies \boxed{y=-1}`

Answer 2

B = (-7,-1)

Explanation:

(x-3)/2 = -5 and (y+3)/2 = 1

x -3 = 2*-5

x = -10+3

x = -7

y+3 = 1*2

y = 2-3

y = -1