Question

Find the coordinates of the missing endpoint if B is the midpoint of AC. C(-5,4), B(-2,5) I need the steps and answer pls and ty

Answer 1

$\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ x}}\quad ,&{{ y}})\quad % (c,d) C&({{ -5}}\quad ,&{{ 4}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)$

$\bf \left( \cfrac{-5+x}{2}~,~\cfrac{4+y}{2} \right)=\stackrel{B}{(-2,5)}\implies \begin{cases} \cfrac{-5+x}{2}=-2\\\\ -5+x=-4\\ \boxed{x=1}\\ ----------\\ \cfrac{4+y}{2}=5\\\\ 4+y=10\\ \boxed{y=6} \end{cases}$