Answer:
(-7, -6).
Explanation:
To find the coordinates of the missing endpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by the average of the x-coordinates and the average of the y-coordinates.
In this case, we know the coordinates of points A and B. Point A has coordinates (1, 7) and point B has coordinates (-3, 1). Let's denote the missing endpoint as point C with coordinates (x, y).
To find the x-coordinate of point C, we can use the midpoint formula: (x1 + x2) / 2 = x-coordinate of the midpoint
Substituting the known values into the formula: (1 + x) / 2 = -3 / 2
Simplifying the equation: 1 + x = -6 x = -7 Therefore, the x-coordinate of point C is -7.
To find the y-coordinate of point C, we can use the same midpoint formula: (y1 + y2) / 2 = y-coordinate of the midpoint
Substituting the known values into the formula: (7 + y) / 2 = 1 / 2 Simplifying the equation: 7 + y = 1 y = -6
Therefore, the y-coordinate of point C is -6.
In conclusion, the coordinates of the missing endpoint C are (-7, -6).