Point A is located at (-1,-5). The midpoint of line segment AB is point C (2,3).
What are the coordinates of point B?
The x-coordinate of the midpoint is found by adding the x-coordinates of the endpoints
together, and dividing by 2. (-1,-5) is the given endpoint and (2,3) is the midpoint 2 = (-1 + x)/2 4 = -1 + x {multiplied each side by 2} x = 5 {added 1 to each side} 5 is the x-coordinate of the other endpoint The y-coordinate of the midpoint is found by adding the y-coordinates of the endpoints together, and dividing by 2. (-1,-5) is the given endpoint and (2,3) is the midpoint 3 = (-5 + y)/2 6 = -5 + y {multiplied each side by 2} y = 11 {added 5 to each side} 11 is the y-coordinate of the other endpoint The other endpoint is (5,11) Ask the House
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