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Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordinates of point B?

2 Answers

6 votes

Answer:

(4,-1)

Explanation:

I may not have solved this the way you expect, but I'll do my best to explain. I first grafted my point, (-8,3), then the second point we're given (-2,1). I then counted the units and duplicated that to get point (4,-1).

I really hope this helps, and let me know if this answer is wrong.

User Hiroshi
by
8.1k points
1 vote

\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ -8}}\quad ,&{{ 3}})\quad % (c,d) B&({{ x}}\quad ,&{{ y}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left( \cfrac{x-8}{2}~,~\cfrac{y+3}{2} \right)=\stackrel{M}{(-2,1)}\implies \begin{cases} \cfrac{x-8}{2}=-2\\\\ x-8=-4\\ x=4\\ ------\\ \cfrac{y+3}{2}=1\\\\ y+3=2\\ y=-1 \end{cases}
User AlfonsoML
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8.4k points