Point A is located at ( -1 , -5 ). The midpoint of segment AB is point C at ( 2 , 3 ).
What are the coordinates of point B?
The x-coordinate of the midpoint is (x1 + x2)/2 {x1 and x2 are the x-coordinates of the endpoints}
2 = (-1 + x2)/2 {substituted 2 in for x-coordinate of the midpoint and -1 in for x-coordinate of endpoint} 4 = -1 + x2 {multiplied each side by 2} 5 = x2 {added 1 to each side} The x-coordinate of the other endpoint is 5. The y-coordinate of the midpoint is (y1 + y2)/2 {y1 and y2 are the y-coordinates of the endpoints} 3 = (-5 + y2)/2 {substituted 3 in for y-coordinate of midpoint and -5 in for y-coordinate of endpoint} 6 = -5 + y2 {multiplied each side by 2} 11 = y2 {added 5 to each side} The y-coordinate of the other endpoint is 11. The coordinates of B are (5,11) Ask the House
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