The equations for the coordinates of the endpoint F should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.
<h3>How to derive the equations for the missing endpoint of a line segment</h3>
In this problem we know the coordinates of the endpoint E and the midpoint M of the line segment EF and we need to derive expressions of the coordinates of the endpoint F by the midpoint formula:
M(x, y) = 0.5 · E(x, y) + 0.5 · F(x, y)
2 · M(x, y) = E(x, y) + F(x, y)
F(x, y) = 2 · M(x, y) - E(x, y)
If we know that M(x, y) = (35, - 3) and E(x, y) = (15, 26), then the coordinates of the endpoint F are:
F(x, y) = 2 · (35, - 3) - (15, 26)
F(x, y) = (70, - 6) + (- 15, - 26)
F(x, y) = (55, - 32)
The equations should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.
To learn more on midpoints: brainly.com/question/8943202
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